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Finding the Fourth Proportional to 122.46, 183.02 and 112.73

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Solution

The fourth proportional to 122.46, 183.02 and 112.73 is: 168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.46 : 183.02 = 112.73 : x
  2. Step 2: Convert to fraction form
    122.46/183.02 = 112.73/x
  3. Step 3: Cross multiply
    122.46x = 183.02 × 112.73
  4. Step 4: Simplify right side
    122.46x = 20,632.11
  5. Step 5: Solve for x
    x = 20,632.11/122.46
  6. Step 6: Final answer
    x = 168.48

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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.