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Finding the Fourth Proportional to 122.73, 169.54 and 98.14

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Solution

The fourth proportional to 122.73, 169.54 and 98.14 is: 135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.73 : 169.54 = 98.14 : x
  2. Step 2: Convert to fraction form
    122.73/169.54 = 98.14/x
  3. Step 3: Cross multiply
    122.73x = 169.54 × 98.14
  4. Step 4: Simplify right side
    122.73x = 16,638.66
  5. Step 5: Solve for x
    x = 16,638.66/122.73
  6. Step 6: Final answer
    x = 135.57

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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.