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Finding the Fourth Proportional to 150,287.96, 225,514.90 and 83,765.54

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Solution

The fourth proportional to 150,287.96, 225,514.90 and 83,765.54 is: 125,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,287.96 : 225,514.90 = 83,765.54 : x
  2. Step 2: Convert to fraction form
    150,287.96/225,514.90 = 83,765.54/x
  3. Step 3: Cross multiply
    150,287.96x = 225,514.90 × 83,765.54
  4. Step 4: Simplify right side
    150,287.96x = 18,890,377,376.55
  5. Step 5: Solve for x
    x = 18,890,377,376.55/150,287.96
  6. Step 6: Final answer
    x = 125,694.55

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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.