Finding the Fourth Proportional to 75,687.84, 113,538.24 and 31,306.08
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Solution
The fourth proportional to 75,687.84, 113,538.24 and 31,306.08 is: 46,961.80
Step by Step Solution
- Step 1: Write the proportion equation
75,687.84 : 113,538.24 = 31,306.08 : x - Step 2: Convert to fraction form
75,687.84/113,538.24 = 31,306.08/x - Step 3: Cross multiply
75,687.84x = 113,538.24 × 31,306.08 - Step 4: Simplify right side
75,687.84x = 3,554,437,224.50 - Step 5: Solve for x
x = 3,554,437,224.50/75,687.84 - Step 6: Final answer
x = 46,961.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.