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Finding the Fourth Proportional to 80.39, 120.41 and 61.14

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Solution

The fourth proportional to 80.39, 120.41 and 61.14 is: 91.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.39 : 120.41 = 61.14 : x
  2. Step 2: Convert to fraction form
    80.39/120.41 = 61.14/x
  3. Step 3: Cross multiply
    80.39x = 120.41 × 61.14
  4. Step 4: Simplify right side
    80.39x = 7,361.56
  5. Step 5: Solve for x
    x = 7,361.56/80.39
  6. Step 6: Final answer
    x = 91.58

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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.