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Finding the Fourth Proportional to 111.46, 166.78 and 92.02

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Solution

The fourth proportional to 111.46, 166.78 and 92.02 is: 137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.46 : 166.78 = 92.02 : x
  2. Step 2: Convert to fraction form
    111.46/166.78 = 92.02/x
  3. Step 3: Cross multiply
    111.46x = 166.78 × 92.02
  4. Step 4: Simplify right side
    111.46x = 15,346.03
  5. Step 5: Solve for x
    x = 15,346.03/111.46
  6. Step 6: Final answer
    x = 137.69

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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.