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Finding the Fourth Proportional to 138,856.80, 208,242.09 and 50,098.74

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Solution

The fourth proportional to 138,856.80, 208,242.09 and 50,098.74 is: 75,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,856.80 : 208,242.09 = 50,098.74 : x
  2. Step 2: Convert to fraction form
    138,856.80/208,242.09 = 50,098.74/x
  3. Step 3: Cross multiply
    138,856.80x = 208,242.09 × 50,098.74
  4. Step 4: Simplify right side
    138,856.80x = 10,432,666,323.97
  5. Step 5: Solve for x
    x = 10,432,666,323.97/138,856.80
  6. Step 6: Final answer
    x = 75,132.56

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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.