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Finding the Fourth Proportional to 133,149.56, 199,724.34 and 54,249.90

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Solution

The fourth proportional to 133,149.56, 199,724.34 and 54,249.90 is: 81,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,149.56 : 199,724.34 = 54,249.90 : x
  2. Step 2: Convert to fraction form
    133,149.56/199,724.34 = 54,249.90/x
  3. Step 3: Cross multiply
    133,149.56x = 199,724.34 × 54,249.90
  4. Step 4: Simplify right side
    133,149.56x = 10,835,025,472.57
  5. Step 5: Solve for x
    x = 10,835,025,472.57/133,149.56
  6. Step 6: Final answer
    x = 81,374.85

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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.