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Finding the Fourth Proportional to 80.62, 120.89 and 25.78

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Solution

The fourth proportional to 80.62, 120.89 and 25.78 is: 38.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.62 : 120.89 = 25.78 : x
  2. Step 2: Convert to fraction form
    80.62/120.89 = 25.78/x
  3. Step 3: Cross multiply
    80.62x = 120.89 × 25.78
  4. Step 4: Simplify right side
    80.62x = 3,116.19
  5. Step 5: Solve for x
    x = 3,116.19/80.62
  6. Step 6: Final answer
    x = 38.65

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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.