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Finding the Fourth Proportional to 122.54, 169.36 and 106.52

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Solution

The fourth proportional to 122.54, 169.36 and 106.52 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.54 : 169.36 = 106.52 : x
  2. Step 2: Convert to fraction form
    122.54/169.36 = 106.52/x
  3. Step 3: Cross multiply
    122.54x = 169.36 × 106.52
  4. Step 4: Simplify right side
    122.54x = 18,040.23
  5. Step 5: Solve for x
    x = 18,040.23/122.54
  6. Step 6: Final answer
    x = 147.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.