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Finding the Fourth Proportional to 75, 113.13 and 72.44

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Solution

The fourth proportional to 75, 113.13 and 72.44 is: 109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 113.13 = 72.44 : x
  2. Step 2: Convert to fraction form
    75/113.13 = 72.44/x
  3. Step 3: Cross multiply
    75x = 113.13 × 72.44
  4. Step 4: Simplify right side
    75x = 8,195.14
  5. Step 5: Solve for x
    x = 8,195.14/75
  6. Step 6: Final answer
    x = 109.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.