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Finding the Fourth Proportional to 121.54, 167.80 and 80.19

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Solution

The fourth proportional to 121.54, 167.80 and 80.19 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.54 : 167.80 = 80.19 : x
  2. Step 2: Convert to fraction form
    121.54/167.80 = 80.19/x
  3. Step 3: Cross multiply
    121.54x = 167.80 × 80.19
  4. Step 4: Simplify right side
    121.54x = 13,456.31
  5. Step 5: Solve for x
    x = 13,456.31/121.54
  6. Step 6: Final answer
    x = 110.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.