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Finding the Fourth Proportional to 80,540.64, 120,816.96 and 21,375

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Solution

The fourth proportional to 80,540.64, 120,816.96 and 21,375 is: 32,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,540.64 : 120,816.96 = 21,375 : x
  2. Step 2: Convert to fraction form
    80,540.64/120,816.96 = 21,375/x
  3. Step 3: Cross multiply
    80,540.64x = 120,816.96 × 21,375
  4. Step 4: Simplify right side
    80,540.64x = 2,582,462,520
  5. Step 5: Solve for x
    x = 2,582,462,520/80,540.64
  6. Step 6: Final answer
    x = 32,064.09

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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.