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Finding the Fourth Proportional to 121.38, 167.38 and 105.71

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Solution

The fourth proportional to 121.38, 167.38 and 105.71 is: 145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.38 : 167.38 = 105.71 : x
  2. Step 2: Convert to fraction form
    121.38/167.38 = 105.71/x
  3. Step 3: Cross multiply
    121.38x = 167.38 × 105.71
  4. Step 4: Simplify right side
    121.38x = 17,693.70
  5. Step 5: Solve for x
    x = 17,693.70/121.38
  6. Step 6: Final answer
    x = 145.77

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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.