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Finding the Fourth Proportional to 122.02, 168.36 and 82.68

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Solution

The fourth proportional to 122.02, 168.36 and 82.68 is: 114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 168.36 = 82.68 : x
  2. Step 2: Convert to fraction form
    122.02/168.36 = 82.68/x
  3. Step 3: Cross multiply
    122.02x = 168.36 × 82.68
  4. Step 4: Simplify right side
    122.02x = 13,919.69
  5. Step 5: Solve for x
    x = 13,919.69/122.02
  6. Step 6: Final answer
    x = 114.08

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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.