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Finding the Fourth Proportional to 138,753.91, 208,003.29 and 49,985.71

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Solution

The fourth proportional to 138,753.91, 208,003.29 and 49,985.71 is: 74,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,753.91 : 208,003.29 = 49,985.71 : x
  2. Step 2: Convert to fraction form
    138,753.91/208,003.29 = 49,985.71/x
  3. Step 3: Cross multiply
    138,753.91x = 208,003.29 × 49,985.71
  4. Step 4: Simplify right side
    138,753.91x = 10,397,192,132.99
  5. Step 5: Solve for x
    x = 10,397,192,132.99/138,753.91
  6. Step 6: Final answer
    x = 74,932.61

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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.