Finding the Fourth Proportional to 75,687.26, 113,552.76 and 31,305.74
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Solution
The fourth proportional to 75,687.26, 113,552.76 and 31,305.74 is: 46,967.66
Step by Step Solution
- Step 1: Write the proportion equation
75,687.26 : 113,552.76 = 31,305.74 : x - Step 2: Convert to fraction form
75,687.26/113,552.76 = 31,305.74/x - Step 3: Cross multiply
75,687.26x = 113,552.76 × 31,305.74 - Step 4: Simplify right side
75,687.26x = 3,554,853,180.84 - Step 5: Solve for x
x = 3,554,853,180.84/75,687.26 - Step 6: Final answer
x = 46,967.66
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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.