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Finding the Fourth Proportional to 80,648.71, 120,965.25 and 24,489.31

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Solution

The fourth proportional to 80,648.71, 120,965.25 and 24,489.31 is: 36,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,648.71 : 120,965.25 = 24,489.31 : x
  2. Step 2: Convert to fraction form
    80,648.71/120,965.25 = 24,489.31/x
  3. Step 3: Cross multiply
    80,648.71x = 120,965.25 × 24,489.31
  4. Step 4: Simplify right side
    80,648.71x = 2,962,355,374.05
  5. Step 5: Solve for x
    x = 2,962,355,374.05/80,648.71
  6. Step 6: Final answer
    x = 36,731.59

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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.