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Finding the Fourth Proportional to 80,581.86, 120,872.64 and 27,991.80

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Solution

The fourth proportional to 80,581.86, 120,872.64 and 27,991.80 is: 41,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,581.86 : 120,872.64 = 27,991.80 : x
  2. Step 2: Convert to fraction form
    80,581.86/120,872.64 = 27,991.80/x
  3. Step 3: Cross multiply
    80,581.86x = 120,872.64 × 27,991.80
  4. Step 4: Simplify right side
    80,581.86x = 3,383,442,764.35
  5. Step 5: Solve for x
    x = 3,383,442,764.35/80,581.86
  6. Step 6: Final answer
    x = 41,987.65

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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.