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Finding the Fourth Proportional to 81.73, 121.89 and 80.29

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Solution

The fourth proportional to 81.73, 121.89 and 80.29 is: 119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.73 : 121.89 = 80.29 : x
  2. Step 2: Convert to fraction form
    81.73/121.89 = 80.29/x
  3. Step 3: Cross multiply
    81.73x = 121.89 × 80.29
  4. Step 4: Simplify right side
    81.73x = 9,786.55
  5. Step 5: Solve for x
    x = 9,786.55/81.73
  6. Step 6: Final answer
    x = 119.74

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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.