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Finding the Fourth Proportional to 122.06, 182.74 and 112.49

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Solution

The fourth proportional to 122.06, 182.74 and 112.49 is: 168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 182.74 = 112.49 : x
  2. Step 2: Convert to fraction form
    122.06/182.74 = 112.49/x
  3. Step 3: Cross multiply
    122.06x = 182.74 × 112.49
  4. Step 4: Simplify right side
    122.06x = 20,554.95
  5. Step 5: Solve for x
    x = 20,554.95/122.06
  6. Step 6: Final answer
    x = 168.41

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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.