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Finding the Fourth Proportional to 121.92, 167.76 and 89.16

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Solution

The fourth proportional to 121.92, 167.76 and 89.16 is: 122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 167.76 = 89.16 : x
  2. Step 2: Convert to fraction form
    121.92/167.76 = 89.16/x
  3. Step 3: Cross multiply
    121.92x = 167.76 × 89.16
  4. Step 4: Simplify right side
    121.92x = 14,957.48
  5. Step 5: Solve for x
    x = 14,957.48/121.92
  6. Step 6: Final answer
    x = 122.68

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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.