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Finding the Fourth Proportional to 122.74, 183.92 and 54.25

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Solution

The fourth proportional to 122.74, 183.92 and 54.25 is: 81.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.74 : 183.92 = 54.25 : x
  2. Step 2: Convert to fraction form
    122.74/183.92 = 54.25/x
  3. Step 3: Cross multiply
    122.74x = 183.92 × 54.25
  4. Step 4: Simplify right side
    122.74x = 9,976.93
  5. Step 5: Solve for x
    x = 9,976.93/122.74
  6. Step 6: Final answer
    x = 81.29

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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.