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Finding the Fourth Proportional to 111.97, 154.68 and 75.11

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Solution

The fourth proportional to 111.97, 154.68 and 75.11 is: 103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.97 : 154.68 = 75.11 : x
  2. Step 2: Convert to fraction form
    111.97/154.68 = 75.11/x
  3. Step 3: Cross multiply
    111.97x = 154.68 × 75.11
  4. Step 4: Simplify right side
    111.97x = 11,618.01
  5. Step 5: Solve for x
    x = 11,618.01/111.97
  6. Step 6: Final answer
    x = 103.76

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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.