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Finding the Fourth Proportional to 122.72, 184.05 and 54.23

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Solution

The fourth proportional to 122.72, 184.05 and 54.23 is: 81.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.72 : 184.05 = 54.23 : x
  2. Step 2: Convert to fraction form
    122.72/184.05 = 54.23/x
  3. Step 3: Cross multiply
    122.72x = 184.05 × 54.23
  4. Step 4: Simplify right side
    122.72x = 9,980.11
  5. Step 5: Solve for x
    x = 9,980.11/122.72
  6. Step 6: Final answer
    x = 81.33

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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.