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Finding the Fourth Proportional to 111.94, 166.85 and 103.12

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Solution

The fourth proportional to 111.94, 166.85 and 103.12 is: 153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.94 : 166.85 = 103.12 : x
  2. Step 2: Convert to fraction form
    111.94/166.85 = 103.12/x
  3. Step 3: Cross multiply
    111.94x = 166.85 × 103.12
  4. Step 4: Simplify right side
    111.94x = 17,205.57
  5. Step 5: Solve for x
    x = 17,205.57/111.94
  6. Step 6: Final answer
    x = 153.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.