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Finding the Fourth Proportional to 111.50, 166.11 and 106.84

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Solution

The fourth proportional to 111.50, 166.11 and 106.84 is: 159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.50 : 166.11 = 106.84 : x
  2. Step 2: Convert to fraction form
    111.50/166.11 = 106.84/x
  3. Step 3: Cross multiply
    111.50x = 166.11 × 106.84
  4. Step 4: Simplify right side
    111.50x = 17,747.19
  5. Step 5: Solve for x
    x = 17,747.19/111.50
  6. Step 6: Final answer
    x = 159.17

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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.