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Finding the Fourth Proportional to 121.36, 166.98 and 106.78

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Solution

The fourth proportional to 121.36, 166.98 and 106.78 is: 146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.36 : 166.98 = 106.78 : x
  2. Step 2: Convert to fraction form
    121.36/166.98 = 106.78/x
  3. Step 3: Cross multiply
    121.36x = 166.98 × 106.78
  4. Step 4: Simplify right side
    121.36x = 17,830.12
  5. Step 5: Solve for x
    x = 17,830.12/121.36
  6. Step 6: Final answer
    x = 146.92

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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.