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Finding the Fourth Proportional to 111.38, 166.66 and 107.73

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Solution

The fourth proportional to 111.38, 166.66 and 107.73 is: 161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.38 : 166.66 = 107.73 : x
  2. Step 2: Convert to fraction form
    111.38/166.66 = 107.73/x
  3. Step 3: Cross multiply
    111.38x = 166.66 × 107.73
  4. Step 4: Simplify right side
    111.38x = 17,954.01
  5. Step 5: Solve for x
    x = 17,954.01/111.38
  6. Step 6: Final answer
    x = 161.20

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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.