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Finding the Fourth Proportional to 111.59, 166.40 and 96.47

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Solution

The fourth proportional to 111.59, 166.40 and 96.47 is: 143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.59 : 166.40 = 96.47 : x
  2. Step 2: Convert to fraction form
    111.59/166.40 = 96.47/x
  3. Step 3: Cross multiply
    111.59x = 166.40 × 96.47
  4. Step 4: Simplify right side
    111.59x = 16,052.61
  5. Step 5: Solve for x
    x = 16,052.61/111.59
  6. Step 6: Final answer
    x = 143.85

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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.