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Finding the Fourth Proportional to 122.84, 168.81 and 110.69

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Solution

The fourth proportional to 122.84, 168.81 and 110.69 is: 152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 168.81 = 110.69 : x
  2. Step 2: Convert to fraction form
    122.84/168.81 = 110.69/x
  3. Step 3: Cross multiply
    122.84x = 168.81 × 110.69
  4. Step 4: Simplify right side
    122.84x = 18,685.58
  5. Step 5: Solve for x
    x = 18,685.58/122.84
  6. Step 6: Final answer
    x = 152.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.