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Finding the Fourth Proportional to 138,354.54, 207,560.97 and 44,853

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Solution

The fourth proportional to 138,354.54, 207,560.97 and 44,853 is: 67,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,354.54 : 207,560.97 = 44,853 : x
  2. Step 2: Convert to fraction form
    138,354.54/207,560.97 = 44,853/x
  3. Step 3: Cross multiply
    138,354.54x = 207,560.97 × 44,853
  4. Step 4: Simplify right side
    138,354.54x = 9,309,732,187.41
  5. Step 5: Solve for x
    x = 9,309,732,187.41/138,354.54
  6. Step 6: Final answer
    x = 67,288.95

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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.