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Finding the Fourth Proportional to 138,856.56, 208,241.80 and 50,098.52

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Solution

The fourth proportional to 138,856.56, 208,241.80 and 50,098.52 is: 75,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,856.56 : 208,241.80 = 50,098.52 : x
  2. Step 2: Convert to fraction form
    138,856.56/208,241.80 = 50,098.52/x
  3. Step 3: Cross multiply
    138,856.56x = 208,241.80 × 50,098.52
  4. Step 4: Simplify right side
    138,856.56x = 10,432,605,982.14
  5. Step 5: Solve for x
    x = 10,432,605,982.14/138,856.56
  6. Step 6: Final answer
    x = 75,132.25

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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.