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Finding the Fourth Proportional to 80,438.64, 120,657.99 and 27,819.42

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Solution

The fourth proportional to 80,438.64, 120,657.99 and 27,819.42 is: 41,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,438.64 : 120,657.99 = 27,819.42 : x
  2. Step 2: Convert to fraction form
    80,438.64/120,657.99 = 27,819.42/x
  3. Step 3: Cross multiply
    80,438.64x = 120,657.99 × 27,819.42
  4. Step 4: Simplify right side
    80,438.64x = 3,356,635,300.17
  5. Step 5: Solve for x
    x = 3,356,635,300.17/80,438.64
  6. Step 6: Final answer
    x = 41,729.14

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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.