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Finding the Fourth Proportional to 111.75, 166.62 and 108.78

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Solution

The fourth proportional to 111.75, 166.62 and 108.78 is: 162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.75 : 166.62 = 108.78 : x
  2. Step 2: Convert to fraction form
    111.75/166.62 = 108.78/x
  3. Step 3: Cross multiply
    111.75x = 166.62 × 108.78
  4. Step 4: Simplify right side
    111.75x = 18,124.92
  5. Step 5: Solve for x
    x = 18,124.92/111.75
  6. Step 6: Final answer
    x = 162.19

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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.