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Finding the Fourth Proportional to 111.94, 167.85 and 54.20

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Solution

The fourth proportional to 111.94, 167.85 and 54.20 is: 81.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.94 : 167.85 = 54.20 : x
  2. Step 2: Convert to fraction form
    111.94/167.85 = 54.20/x
  3. Step 3: Cross multiply
    111.94x = 167.85 × 54.20
  4. Step 4: Simplify right side
    111.94x = 9,097.89
  5. Step 5: Solve for x
    x = 9,097.89/111.94
  6. Step 6: Final answer
    x = 81.28

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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.