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Finding the Fourth Proportional to 80,443, 120,659.58 and 36,057.84

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Solution

The fourth proportional to 80,443, 120,659.58 and 36,057.84 is: 54,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,443 : 120,659.58 = 36,057.84 : x
  2. Step 2: Convert to fraction form
    80,443/120,659.58 = 36,057.84/x
  3. Step 3: Cross multiply
    80,443x = 120,659.58 × 36,057.84
  4. Step 4: Simplify right side
    80,443x = 4,350,723,830.11
  5. Step 5: Solve for x
    x = 4,350,723,830.11/80,443
  6. Step 6: Final answer
    x = 54,084.55

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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.