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Finding the Fourth Proportional to 122.11, 184.22 and 108.74

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Solution

The fourth proportional to 122.11, 184.22 and 108.74 is: 164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.11 : 184.22 = 108.74 : x
  2. Step 2: Convert to fraction form
    122.11/184.22 = 108.74/x
  3. Step 3: Cross multiply
    122.11x = 184.22 × 108.74
  4. Step 4: Simplify right side
    122.11x = 20,033.02
  5. Step 5: Solve for x
    x = 20,033.02/122.11
  6. Step 6: Final answer
    x = 164.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.