Finding the Fourth Proportional to 75,834.26, 113,659.14 and 53,654.06
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Solution
The fourth proportional to 75,834.26, 113,659.14 and 53,654.06 is: 80,415.82
Step by Step Solution
- Step 1: Write the proportion equation
75,834.26 : 113,659.14 = 53,654.06 : x - Step 2: Convert to fraction form
75,834.26/113,659.14 = 53,654.06/x - Step 3: Cross multiply
75,834.26x = 113,659.14 × 53,654.06 - Step 4: Simplify right side
75,834.26x = 6,098,274,317.11 - Step 5: Solve for x
x = 6,098,274,317.11/75,834.26 - Step 6: Final answer
x = 80,415.82
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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.