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Finding the Fourth Proportional to 150,711.92, 207,982.75 and 89,470.40

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Solution

The fourth proportional to 150,711.92, 207,982.75 and 89,470.40 is: 123,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,711.92 : 207,982.75 = 89,470.40 : x
  2. Step 2: Convert to fraction form
    150,711.92/207,982.75 = 89,470.40/x
  3. Step 3: Cross multiply
    150,711.92x = 207,982.75 × 89,470.40
  4. Step 4: Simplify right side
    150,711.92x = 18,608,298,795.69
  5. Step 5: Solve for x
    x = 18,608,298,795.69/150,711.92
  6. Step 6: Final answer
    x = 123,469.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.