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Finding the Fourth Proportional to 81,380.91, 122,082.90 and 25,225.44

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Solution

The fourth proportional to 81,380.91, 122,082.90 and 25,225.44 is: 37,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,380.91 : 122,082.90 = 25,225.44 : x
  2. Step 2: Convert to fraction form
    81,380.91/122,082.90 = 25,225.44/x
  3. Step 3: Cross multiply
    81,380.91x = 122,082.90 × 25,225.44
  4. Step 4: Simplify right side
    81,380.91x = 3,079,594,868.98
  5. Step 5: Solve for x
    x = 3,079,594,868.98/81,380.91
  6. Step 6: Final answer
    x = 37,841.74

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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.