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Finding the Fourth Proportional to 138,462.88, 207,675.86 and 38,614.71

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Solution

The fourth proportional to 138,462.88, 207,675.86 and 38,614.71 is: 57,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,462.88 : 207,675.86 = 38,614.71 : x
  2. Step 2: Convert to fraction form
    138,462.88/207,675.86 = 38,614.71/x
  3. Step 3: Cross multiply
    138,462.88x = 207,675.86 × 38,614.71
  4. Step 4: Simplify right side
    138,462.88x = 8,019,343,204.44
  5. Step 5: Solve for x
    x = 8,019,343,204.44/138,462.88
  6. Step 6: Final answer
    x = 57,916.92

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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.