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Finding the Fourth Proportional to 80,170.96, 120,221.70 and 38,063.20

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Solution

The fourth proportional to 80,170.96, 120,221.70 and 38,063.20 is: 57,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,170.96 : 120,221.70 = 38,063.20 : x
  2. Step 2: Convert to fraction form
    80,170.96/120,221.70 = 38,063.20/x
  3. Step 3: Cross multiply
    80,170.96x = 120,221.70 × 38,063.20
  4. Step 4: Simplify right side
    80,170.96x = 4,576,022,611.44
  5. Step 5: Solve for x
    x = 4,576,022,611.44/80,170.96
  6. Step 6: Final answer
    x = 57,078.31

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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.