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Finding the Fourth Proportional to 121.11, 167.14 and 77.43

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Solution

The fourth proportional to 121.11, 167.14 and 77.43 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.11 : 167.14 = 77.43 : x
  2. Step 2: Convert to fraction form
    121.11/167.14 = 77.43/x
  3. Step 3: Cross multiply
    121.11x = 167.14 × 77.43
  4. Step 4: Simplify right side
    121.11x = 12,941.65
  5. Step 5: Solve for x
    x = 12,941.65/121.11
  6. Step 6: Final answer
    x = 106.86

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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.