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Finding the Fourth Proportional to 225,711.86, 338,469.36 and 85,372.07

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Solution

The fourth proportional to 225,711.86, 338,469.36 and 85,372.07 is: 128,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,711.86 : 338,469.36 = 85,372.07 : x
  2. Step 2: Convert to fraction form
    225,711.86/338,469.36 = 85,372.07/x
  3. Step 3: Cross multiply
    225,711.86x = 338,469.36 × 85,372.07
  4. Step 4: Simplify right side
    225,711.86x = 28,895,831,061.09
  5. Step 5: Solve for x
    x = 28,895,831,061.09/225,711.86
  6. Step 6: Final answer
    x = 128,020.88

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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.