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Finding the Fourth Proportional to 122.31, 168.55 and 103.82

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Solution

The fourth proportional to 122.31, 168.55 and 103.82 is: 143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.31 : 168.55 = 103.82 : x
  2. Step 2: Convert to fraction form
    122.31/168.55 = 103.82/x
  3. Step 3: Cross multiply
    122.31x = 168.55 × 103.82
  4. Step 4: Simplify right side
    122.31x = 17,497.76
  5. Step 5: Solve for x
    x = 17,497.76/122.31
  6. Step 6: Final answer
    x = 143.06

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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.