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Finding the Fourth Proportional to 138,789.80, 208,163.10 and 38,940.20

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Solution

The fourth proportional to 138,789.80, 208,163.10 and 38,940.20 is: 58,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,789.80 : 208,163.10 = 38,940.20 : x
  2. Step 2: Convert to fraction form
    138,789.80/208,163.10 = 38,940.20/x
  3. Step 3: Cross multiply
    138,789.80x = 208,163.10 × 38,940.20
  4. Step 4: Simplify right side
    138,789.80x = 8,105,912,746.62
  5. Step 5: Solve for x
    x = 8,105,912,746.62/138,789.80
  6. Step 6: Final answer
    x = 58,404.24

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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.