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Finding the Fourth Proportional to 111.26, 166.94 and 39.12

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Solution

The fourth proportional to 111.26, 166.94 and 39.12 is: 58.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.26 : 166.94 = 39.12 : x
  2. Step 2: Convert to fraction form
    111.26/166.94 = 39.12/x
  3. Step 3: Cross multiply
    111.26x = 166.94 × 39.12
  4. Step 4: Simplify right side
    111.26x = 6,530.69
  5. Step 5: Solve for x
    x = 6,530.69/111.26
  6. Step 6: Final answer
    x = 58.70

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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.