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Finding the Fourth Proportional to 122.69, 169.27 and 81.20

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Solution

The fourth proportional to 122.69, 169.27 and 81.20 is: 112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.69 : 169.27 = 81.20 : x
  2. Step 2: Convert to fraction form
    122.69/169.27 = 81.20/x
  3. Step 3: Cross multiply
    122.69x = 169.27 × 81.20
  4. Step 4: Simplify right side
    122.69x = 13,744.94
  5. Step 5: Solve for x
    x = 13,744.94/122.69
  6. Step 6: Final answer
    x = 112.03

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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.