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Finding the Fourth Proportional to 159,882.87, 220,638.84 and 87,285.88

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Solution

The fourth proportional to 159,882.87, 220,638.84 and 87,285.88 is: 120,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,882.87 : 220,638.84 = 87,285.88 : x
  2. Step 2: Convert to fraction form
    159,882.87/220,638.84 = 87,285.88/x
  3. Step 3: Cross multiply
    159,882.87x = 220,638.84 × 87,285.88
  4. Step 4: Simplify right side
    159,882.87x = 19,258,655,311.58
  5. Step 5: Solve for x
    x = 19,258,655,311.58/159,882.87
  6. Step 6: Final answer
    x = 120,454.78

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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.