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Finding the Fourth Proportional to 121.08, 167.08 and 77.42

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Solution

The fourth proportional to 121.08, 167.08 and 77.42 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.08 : 167.08 = 77.42 : x
  2. Step 2: Convert to fraction form
    121.08/167.08 = 77.42/x
  3. Step 3: Cross multiply
    121.08x = 167.08 × 77.42
  4. Step 4: Simplify right side
    121.08x = 12,935.33
  5. Step 5: Solve for x
    x = 12,935.33/121.08
  6. Step 6: Final answer
    x = 106.83

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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.