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Finding the Fourth Proportional to 122.85, 169.49 and 88.02

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Solution

The fourth proportional to 122.85, 169.49 and 88.02 is: 121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.85 : 169.49 = 88.02 : x
  2. Step 2: Convert to fraction form
    122.85/169.49 = 88.02/x
  3. Step 3: Cross multiply
    122.85x = 169.49 × 88.02
  4. Step 4: Simplify right side
    122.85x = 14,918.73
  5. Step 5: Solve for x
    x = 14,918.73/122.85
  6. Step 6: Final answer
    x = 121.44

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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.