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Finding the Fourth Proportional to 118.09, 176.92 and 74.69

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Solution

The fourth proportional to 118.09, 176.92 and 74.69 is: 111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.09 : 176.92 = 74.69 : x
  2. Step 2: Convert to fraction form
    118.09/176.92 = 74.69/x
  3. Step 3: Cross multiply
    118.09x = 176.92 × 74.69
  4. Step 4: Simplify right side
    118.09x = 13,214.15
  5. Step 5: Solve for x
    x = 13,214.15/118.09
  6. Step 6: Final answer
    x = 111.90

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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.