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Finding the Fourth Proportional to 111.78, 166.84 and 84.60

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Solution

The fourth proportional to 111.78, 166.84 and 84.60 is: 126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 166.84 = 84.60 : x
  2. Step 2: Convert to fraction form
    111.78/166.84 = 84.60/x
  3. Step 3: Cross multiply
    111.78x = 166.84 × 84.60
  4. Step 4: Simplify right side
    111.78x = 14,114.45
  5. Step 5: Solve for x
    x = 14,114.45/111.78
  6. Step 6: Final answer
    x = 126.27

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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.