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Finding the Fourth Proportional to 111.62, 166.11 and 107.30

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Solution

The fourth proportional to 111.62, 166.11 and 107.30 is: 159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.62 : 166.11 = 107.30 : x
  2. Step 2: Convert to fraction form
    111.62/166.11 = 107.30/x
  3. Step 3: Cross multiply
    111.62x = 166.11 × 107.30
  4. Step 4: Simplify right side
    111.62x = 17,823.07
  5. Step 5: Solve for x
    x = 17,823.07/111.62
  6. Step 6: Final answer
    x = 159.68

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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.