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Finding the Fourth Proportional to 122.74, 168.98 and 107.18

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Solution

The fourth proportional to 122.74, 168.98 and 107.18 is: 147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.74 : 168.98 = 107.18 : x
  2. Step 2: Convert to fraction form
    122.74/168.98 = 107.18/x
  3. Step 3: Cross multiply
    122.74x = 168.98 × 107.18
  4. Step 4: Simplify right side
    122.74x = 18,111.28
  5. Step 5: Solve for x
    x = 18,111.28/122.74
  6. Step 6: Final answer
    x = 147.56

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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.