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Finding the Fourth Proportional to 118.78, 179.17 and 112.03

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Solution

The fourth proportional to 118.78, 179.17 and 112.03 is: 168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.78 : 179.17 = 112.03 : x
  2. Step 2: Convert to fraction form
    118.78/179.17 = 112.03/x
  3. Step 3: Cross multiply
    118.78x = 179.17 × 112.03
  4. Step 4: Simplify right side
    118.78x = 20,072.42
  5. Step 5: Solve for x
    x = 20,072.42/118.78
  6. Step 6: Final answer
    x = 168.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.