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Finding the Fourth Proportional to 138,453.39, 207,680.13 and 71,859.24

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Solution

The fourth proportional to 138,453.39, 207,680.13 and 71,859.24 is: 107,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,453.39 : 207,680.13 = 71,859.24 : x
  2. Step 2: Convert to fraction form
    138,453.39/207,680.13 = 71,859.24/x
  3. Step 3: Cross multiply
    138,453.39x = 207,680.13 × 71,859.24
  4. Step 4: Simplify right side
    138,453.39x = 14,923,736,304.90
  5. Step 5: Solve for x
    x = 14,923,736,304.90/138,453.39
  6. Step 6: Final answer
    x = 107,788.88

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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.