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Finding the Fourth Proportional to 121.06, 166.92 and 86.02

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Solution

The fourth proportional to 121.06, 166.92 and 86.02 is: 118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.06 : 166.92 = 86.02 : x
  2. Step 2: Convert to fraction form
    121.06/166.92 = 86.02/x
  3. Step 3: Cross multiply
    121.06x = 166.92 × 86.02
  4. Step 4: Simplify right side
    121.06x = 14,358.46
  5. Step 5: Solve for x
    x = 14,358.46/121.06
  6. Step 6: Final answer
    x = 118.61

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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.