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Finding the Fourth Proportional to 118.59, 178.52 and 91.86

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Solution

The fourth proportional to 118.59, 178.52 and 91.86 is: 138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.59 : 178.52 = 91.86 : x
  2. Step 2: Convert to fraction form
    118.59/178.52 = 91.86/x
  3. Step 3: Cross multiply
    118.59x = 178.52 × 91.86
  4. Step 4: Simplify right side
    118.59x = 16,398.85
  5. Step 5: Solve for x
    x = 16,398.85/118.59
  6. Step 6: Final answer
    x = 138.28

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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.