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Finding the Fourth Proportional to 80,387.43, 120,582.17 and 55,420.80

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Solution

The fourth proportional to 80,387.43, 120,582.17 and 55,420.80 is: 83,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,387.43 : 120,582.17 = 55,420.80 : x
  2. Step 2: Convert to fraction form
    80,387.43/120,582.17 = 55,420.80/x
  3. Step 3: Cross multiply
    80,387.43x = 120,582.17 × 55,420.80
  4. Step 4: Simplify right side
    80,387.43x = 6,682,760,050.03
  5. Step 5: Solve for x
    x = 6,682,760,050.03/80,387.43
  6. Step 6: Final answer
    x = 83,131.90

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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.