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Finding the Fourth Proportional to 138,411.68, 207,543.69 and 71,686.31

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Solution

The fourth proportional to 138,411.68, 207,543.69 and 71,686.31 is: 107,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.68 : 207,543.69 = 71,686.31 : x
  2. Step 2: Convert to fraction form
    138,411.68/207,543.69 = 71,686.31/x
  3. Step 3: Cross multiply
    138,411.68x = 207,543.69 × 71,686.31
  4. Step 4: Simplify right side
    138,411.68x = 14,878,040,262.17
  5. Step 5: Solve for x
    x = 14,878,040,262.17/138,411.68
  6. Step 6: Final answer
    x = 107,491.22

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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.