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Finding the Fourth Proportional to 138,389.43, 207,584.34 and 38,549.91

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Solution

The fourth proportional to 138,389.43, 207,584.34 and 38,549.91 is: 57,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,389.43 : 207,584.34 = 38,549.91 : x
  2. Step 2: Convert to fraction form
    138,389.43/207,584.34 = 38,549.91/x
  3. Step 3: Cross multiply
    138,389.43x = 207,584.34 × 38,549.91
  4. Step 4: Simplify right side
    138,389.43x = 8,002,357,624.41
  5. Step 5: Solve for x
    x = 8,002,357,624.41/138,389.43
  6. Step 6: Final answer
    x = 57,824.92

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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.