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Finding the Fourth Proportional to 80,125, 120,189.12 and 24,721

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Solution

The fourth proportional to 80,125, 120,189.12 and 24,721 is: 37,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,125 : 120,189.12 = 24,721 : x
  2. Step 2: Convert to fraction form
    80,125/120,189.12 = 24,721/x
  3. Step 3: Cross multiply
    80,125x = 120,189.12 × 24,721
  4. Step 4: Simplify right side
    80,125x = 2,971,195,235.52
  5. Step 5: Solve for x
    x = 2,971,195,235.52/80,125
  6. Step 6: Final answer
    x = 37,082.00

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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.