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Finding the Fourth Proportional to 111.12, 167 and 80.74

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Solution

The fourth proportional to 111.12, 167 and 80.74 is: 121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.12 : 167 = 80.74 : x
  2. Step 2: Convert to fraction form
    111.12/167 = 80.74/x
  3. Step 3: Cross multiply
    111.12x = 167 × 80.74
  4. Step 4: Simplify right side
    111.12x = 13,483.58
  5. Step 5: Solve for x
    x = 13,483.58/111.12
  6. Step 6: Final answer
    x = 121.34

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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.