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Finding the Fourth Proportional to 71,691.57, 107,566.77 and 31,689.42

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Solution

The fourth proportional to 71,691.57, 107,566.77 and 31,689.42 is: 47,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691.57 : 107,566.77 = 31,689.42 : x
  2. Step 2: Convert to fraction form
    71,691.57/107,566.77 = 31,689.42/x
  3. Step 3: Cross multiply
    71,691.57x = 107,566.77 × 31,689.42
  4. Step 4: Simplify right side
    71,691.57x = 3,408,728,552.57
  5. Step 5: Solve for x
    x = 3,408,728,552.57/71,691.57
  6. Step 6: Final answer
    x = 47,547.13

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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.