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Finding the Fourth Proportional to 80,287.86, 120,268.11 and 38,039.88

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Solution

The fourth proportional to 80,287.86, 120,268.11 and 38,039.88 is: 56,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,287.86 : 120,268.11 = 38,039.88 : x
  2. Step 2: Convert to fraction form
    80,287.86/120,268.11 = 38,039.88/x
  3. Step 3: Cross multiply
    80,287.86x = 120,268.11 × 38,039.88
  4. Step 4: Simplify right side
    80,287.86x = 4,574,984,472.23
  5. Step 5: Solve for x
    x = 4,574,984,472.23/80,287.86
  6. Step 6: Final answer
    x = 56,982.27

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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.