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Finding the Fourth Proportional to 121.66, 167.94 and 92.57

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Solution

The fourth proportional to 121.66, 167.94 and 92.57 is: 127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.66 : 167.94 = 92.57 : x
  2. Step 2: Convert to fraction form
    121.66/167.94 = 92.57/x
  3. Step 3: Cross multiply
    121.66x = 167.94 × 92.57
  4. Step 4: Simplify right side
    121.66x = 15,545.37
  5. Step 5: Solve for x
    x = 15,545.37/121.66
  6. Step 6: Final answer
    x = 127.78

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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.