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Finding the Fourth Proportional to 122.88, 169.36 and 102.09

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Solution

The fourth proportional to 122.88, 169.36 and 102.09 is: 140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 169.36 = 102.09 : x
  2. Step 2: Convert to fraction form
    122.88/169.36 = 102.09/x
  3. Step 3: Cross multiply
    122.88x = 169.36 × 102.09
  4. Step 4: Simplify right side
    122.88x = 17,289.96
  5. Step 5: Solve for x
    x = 17,289.96/122.88
  6. Step 6: Final answer
    x = 140.71

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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.