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Finding the Fourth Proportional to 111.25, 167.03 and 72.61

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Solution

The fourth proportional to 111.25, 167.03 and 72.61 is: 109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.25 : 167.03 = 72.61 : x
  2. Step 2: Convert to fraction form
    111.25/167.03 = 72.61/x
  3. Step 3: Cross multiply
    111.25x = 167.03 × 72.61
  4. Step 4: Simplify right side
    111.25x = 12,127.69
  5. Step 5: Solve for x
    x = 12,127.69/111.25
  6. Step 6: Final answer
    x = 109.01

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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.