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Finding the Fourth Proportional to 138,412.69, 207,545.20 and 71,687.32

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Solution

The fourth proportional to 138,412.69, 207,545.20 and 71,687.32 is: 107,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,412.69 : 207,545.20 = 71,687.32 : x
  2. Step 2: Convert to fraction form
    138,412.69/207,545.20 = 71,687.32/x
  3. Step 3: Cross multiply
    138,412.69x = 207,545.20 × 71,687.32
  4. Step 4: Simplify right side
    138,412.69x = 14,878,359,166.86
  5. Step 5: Solve for x
    x = 14,878,359,166.86/138,412.69
  6. Step 6: Final answer
    x = 107,492.74

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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.