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Finding the Fourth Proportional to 111.31, 167.02 and 72.78

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Solution

The fourth proportional to 111.31, 167.02 and 72.78 is: 109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.31 : 167.02 = 72.78 : x
  2. Step 2: Convert to fraction form
    111.31/167.02 = 72.78/x
  3. Step 3: Cross multiply
    111.31x = 167.02 × 72.78
  4. Step 4: Simplify right side
    111.31x = 12,155.72
  5. Step 5: Solve for x
    x = 12,155.72/111.31
  6. Step 6: Final answer
    x = 109.21

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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.