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LESSON 5.B: RATIOS AND PROPORTIONS



                       Example 2.

                              Last year, a corporation declared current assets of ₱725,000 compared to ₱340,000

                       current liabilities. What is the current liabilities?

                       Solution:


                                Current Assets      ₱725,000            2.1
                                                 =            = 2.1        = 2.1      1
                              Current Liabilities   ₱340,000            1

                              The current ratio of 2.1 to l means that for every ₱1.00 of current liabilities, the

                       business possesses ₱2.10 in current assets.

                   •  Proportion

                          We know that and are simply different names for the same number. This is so because

                   they are equal.

                          A statement that two ratios are equal is called proportion.


                       Examples:

                           a.      2  =  4                     b.     3  =  9
                                   5    10                            7    21
                       We can always check a proportion this way:


                                        4
                           a.      2  =                        b.     3  =  9
                                   5    10                            7    21
                                2 ∙ 10 = 5 ∙ 4                     3 ∙ 21  = 7 ∙ 9
                                   20 = 20                            63 = 63

                                       2    4
                              The term   =     is read as the ratio of 2 to 5 equals the ratio of 4 to 10 and can
                                       5    10
                       also be expressed in the following way:

                                                                          
                                                              ⏞
                                                           2 ∶ 5  = 4 ∶ 10








                                                           ⏟
                                                                         
                              The middle terms 5 and 4 are the means and the outer terms 2 and 10 are called
                       the extremes. The rule for proportions is "The product of the means equals the product of
                       the extremes" as:
                            a.  2 ∶ 5  = 4 ∶ 10                b.     3 ∶ 7  = 9 ∶ 21
                                2 ∙ 10 = 5 ∙ 4                       3 ∙ 21  = 7 ∙ 9
                                   20 = 20                               63 = 63
               LESSON 4: FRACTIONS                                                               4.5 | P a g e
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