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Finding the Fourth Proportional to 111.84, 166.71 and 109.20

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Solution

The fourth proportional to 111.84, 166.71 and 109.20 is: 162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 166.71 = 109.20 : x
  2. Step 2: Convert to fraction form
    111.84/166.71 = 109.20/x
  3. Step 3: Cross multiply
    111.84x = 166.71 × 109.20
  4. Step 4: Simplify right side
    111.84x = 18,204.73
  5. Step 5: Solve for x
    x = 18,204.73/111.84
  6. Step 6: Final answer
    x = 162.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.