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Finding the Fourth Proportional to 81.87, 121.95 and 80.25

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Solution

The fourth proportional to 81.87, 121.95 and 80.25 is: 119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.87 : 121.95 = 80.25 : x
  2. Step 2: Convert to fraction form
    81.87/121.95 = 80.25/x
  3. Step 3: Cross multiply
    81.87x = 121.95 × 80.25
  4. Step 4: Simplify right side
    81.87x = 9,786.49
  5. Step 5: Solve for x
    x = 9,786.49/81.87
  6. Step 6: Final answer
    x = 119.54

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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.