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Finding the Fourth Proportional to 138,839.29, 208,118.71 and 54,658.52

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Solution

The fourth proportional to 138,839.29, 208,118.71 and 54,658.52 is: 81,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,839.29 : 208,118.71 = 54,658.52 : x
  2. Step 2: Convert to fraction form
    138,839.29/208,118.71 = 54,658.52/x
  3. Step 3: Cross multiply
    138,839.29x = 208,118.71 × 54,658.52
  4. Step 4: Simplify right side
    138,839.29x = 11,375,460,912.69
  5. Step 5: Solve for x
    x = 11,375,460,912.69/138,839.29
  6. Step 6: Final answer
    x = 81,932.58

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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.