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Finding the Fourth Proportional to 138,314, 207,471.18 and 38,474.20

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Solution

The fourth proportional to 138,314, 207,471.18 and 38,474.20 is: 57,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,314 : 207,471.18 = 38,474.20 : x
  2. Step 2: Convert to fraction form
    138,314/207,471.18 = 38,474.20/x
  3. Step 3: Cross multiply
    138,314x = 207,471.18 × 38,474.20
  4. Step 4: Simplify right side
    138,314x = 7,982,287,673.56
  5. Step 5: Solve for x
    x = 7,982,287,673.56/138,314
  6. Step 6: Final answer
    x = 57,711.35

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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.