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Finding the Fourth Proportional to 138,714.49, 207,984.26 and 76,428.73

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Solution

The fourth proportional to 138,714.49, 207,984.26 and 76,428.73 is: 114,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,714.49 : 207,984.26 = 76,428.73 : x
  2. Step 2: Convert to fraction form
    138,714.49/207,984.26 = 76,428.73/x
  3. Step 3: Cross multiply
    138,714.49x = 207,984.26 × 76,428.73
  4. Step 4: Simplify right side
    138,714.49x = 15,895,972,469.65
  5. Step 5: Solve for x
    x = 15,895,972,469.65/138,714.49
  6. Step 6: Final answer
    x = 114,594.90

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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.