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Finding the Fourth Proportional to 138,264.68, 207,228.54 and 71,668.10

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Solution

The fourth proportional to 138,264.68, 207,228.54 and 71,668.10 is: 107,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,264.68 : 207,228.54 = 71,668.10 : x
  2. Step 2: Convert to fraction form
    138,264.68/207,228.54 = 71,668.10/x
  3. Step 3: Cross multiply
    138,264.68x = 207,228.54 × 71,668.10
  4. Step 4: Simplify right side
    138,264.68x = 14,851,675,727.57
  5. Step 5: Solve for x
    x = 14,851,675,727.57/138,264.68
  6. Step 6: Final answer
    x = 107,414.82

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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.