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Finding the Fourth Proportional to 225,711.50, 338,468.81 and 85,371.71

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Solution

The fourth proportional to 225,711.50, 338,468.81 and 85,371.71 is: 128,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,711.50 : 338,468.81 = 85,371.71 : x
  2. Step 2: Convert to fraction form
    225,711.50/338,468.81 = 85,371.71/x
  3. Step 3: Cross multiply
    225,711.50x = 338,468.81 × 85,371.71
  4. Step 4: Simplify right side
    225,711.50x = 28,895,659,612.45
  5. Step 5: Solve for x
    x = 28,895,659,612.45/225,711.50
  6. Step 6: Final answer
    x = 128,020.33

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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.