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Finding the Fourth Proportional to 138,367.98, 207,548.30 and 38,524.14

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Solution

The fourth proportional to 138,367.98, 207,548.30 and 38,524.14 is: 57,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,367.98 : 207,548.30 = 38,524.14 : x
  2. Step 2: Convert to fraction form
    138,367.98/207,548.30 = 38,524.14/x
  3. Step 3: Cross multiply
    138,367.98x = 207,548.30 × 38,524.14
  4. Step 4: Simplify right side
    138,367.98x = 7,995,619,862.27
  5. Step 5: Solve for x
    x = 7,995,619,862.27/138,367.98
  6. Step 6: Final answer
    x = 57,785.19

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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.