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Finding the Fourth Proportional to 84.11, 125.28 and 80.19

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Solution

The fourth proportional to 84.11, 125.28 and 80.19 is: 119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.11 : 125.28 = 80.19 : x
  2. Step 2: Convert to fraction form
    84.11/125.28 = 80.19/x
  3. Step 3: Cross multiply
    84.11x = 125.28 × 80.19
  4. Step 4: Simplify right side
    84.11x = 10,046.20
  5. Step 5: Solve for x
    x = 10,046.20/84.11
  6. Step 6: Final answer
    x = 119.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.