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Finding the Fourth Proportional to 111.84, 168.64 and 110.62

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Solution

The fourth proportional to 111.84, 168.64 and 110.62 is: 166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 168.64 = 110.62 : x
  2. Step 2: Convert to fraction form
    111.84/168.64 = 110.62/x
  3. Step 3: Cross multiply
    111.84x = 168.64 × 110.62
  4. Step 4: Simplify right side
    111.84x = 18,654.96
  5. Step 5: Solve for x
    x = 18,654.96/111.84
  6. Step 6: Final answer
    x = 166.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.