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Finding the Fourth Proportional to 111.48, 166.77 and 100.14

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Solution

The fourth proportional to 111.48, 166.77 and 100.14 is: 149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 166.77 = 100.14 : x
  2. Step 2: Convert to fraction form
    111.48/166.77 = 100.14/x
  3. Step 3: Cross multiply
    111.48x = 166.77 × 100.14
  4. Step 4: Simplify right side
    111.48x = 16,700.35
  5. Step 5: Solve for x
    x = 16,700.35/111.48
  6. Step 6: Final answer
    x = 149.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.