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Finding the Fourth Proportional to 221,471.12, 332,002.02 and 88,319

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Solution

The fourth proportional to 221,471.12, 332,002.02 and 88,319 is: 132,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,471.12 : 332,002.02 = 88,319 : x
  2. Step 2: Convert to fraction form
    221,471.12/332,002.02 = 88,319/x
  3. Step 3: Cross multiply
    221,471.12x = 332,002.02 × 88,319
  4. Step 4: Simplify right side
    221,471.12x = 29,322,086,404.38
  5. Step 5: Solve for x
    x = 29,322,086,404.38/221,471.12
  6. Step 6: Final answer
    x = 132,396.88

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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.