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Finding the Fourth Proportional to 166.06, 249.03 and 83.73

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Solution

The fourth proportional to 166.06, 249.03 and 83.73 is: 125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.06 : 249.03 = 83.73 : x
  2. Step 2: Convert to fraction form
    166.06/249.03 = 83.73/x
  3. Step 3: Cross multiply
    166.06x = 249.03 × 83.73
  4. Step 4: Simplify right side
    166.06x = 20,851.28
  5. Step 5: Solve for x
    x = 20,851.28/166.06
  6. Step 6: Final answer
    x = 125.56

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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.