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Finding the Fourth Proportional to 167.86, 251.68 and 81.22

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Solution

The fourth proportional to 167.86, 251.68 and 81.22 is: 121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.86 : 251.68 = 81.22 : x
  2. Step 2: Convert to fraction form
    167.86/251.68 = 81.22/x
  3. Step 3: Cross multiply
    167.86x = 251.68 × 81.22
  4. Step 4: Simplify right side
    167.86x = 20,441.45
  5. Step 5: Solve for x
    x = 20,441.45/167.86
  6. Step 6: Final answer
    x = 121.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.