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Finding the Fourth Proportional to 121.06, 167.01 and 76.78

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Solution

The fourth proportional to 121.06, 167.01 and 76.78 is: 105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.06 : 167.01 = 76.78 : x
  2. Step 2: Convert to fraction form
    121.06/167.01 = 76.78/x
  3. Step 3: Cross multiply
    121.06x = 167.01 × 76.78
  4. Step 4: Simplify right side
    121.06x = 12,823.85
  5. Step 5: Solve for x
    x = 12,823.85/121.06
  6. Step 6: Final answer
    x = 105.93

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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.