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Finding the Fourth Proportional to 80,589.60, 120,761.20 and 54,196.64

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Solution

The fourth proportional to 80,589.60, 120,761.20 and 54,196.64 is: 81,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,589.60 : 120,761.20 = 54,196.64 : x
  2. Step 2: Convert to fraction form
    80,589.60/120,761.20 = 54,196.64/x
  3. Step 3: Cross multiply
    80,589.60x = 120,761.20 × 54,196.64
  4. Step 4: Simplify right side
    80,589.60x = 6,544,851,282.37
  5. Step 5: Solve for x
    x = 6,544,851,282.37/80,589.60
  6. Step 6: Final answer
    x = 81,212.11

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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.