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Finding the Fourth Proportional to 80,296.56, 120,420.84 and 24,121.64

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Solution

The fourth proportional to 80,296.56, 120,420.84 and 24,121.64 is: 36,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,296.56 : 120,420.84 = 24,121.64 : x
  2. Step 2: Convert to fraction form
    80,296.56/120,420.84 = 24,121.64/x
  3. Step 3: Cross multiply
    80,296.56x = 120,420.84 × 24,121.64
  4. Step 4: Simplify right side
    80,296.56x = 2,904,748,452.03
  5. Step 5: Solve for x
    x = 2,904,748,452.03/80,296.56
  6. Step 6: Final answer
    x = 36,175.25

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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.