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Finding the Fourth Proportional to 111.78, 166.82 and 93.47

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Solution

The fourth proportional to 111.78, 166.82 and 93.47 is: 139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 166.82 = 93.47 : x
  2. Step 2: Convert to fraction form
    111.78/166.82 = 93.47/x
  3. Step 3: Cross multiply
    111.78x = 166.82 × 93.47
  4. Step 4: Simplify right side
    111.78x = 15,591.36
  5. Step 5: Solve for x
    x = 15,591.36/111.78
  6. Step 6: Final answer
    x = 139.48

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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.