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Finding the Fourth Proportional to 138,089.52, 207,177.96 and 49,341

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Solution

The fourth proportional to 138,089.52, 207,177.96 and 49,341 is: 74,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,089.52 : 207,177.96 = 49,341 : x
  2. Step 2: Convert to fraction form
    138,089.52/207,177.96 = 49,341/x
  3. Step 3: Cross multiply
    138,089.52x = 207,177.96 × 49,341
  4. Step 4: Simplify right side
    138,089.52x = 10,222,367,724.36
  5. Step 5: Solve for x
    x = 10,222,367,724.36/138,089.52
  6. Step 6: Final answer
    x = 74,027.11

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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.