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Finding the Fourth Proportional to 74.75, 112.30 and 68.41

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Solution

The fourth proportional to 74.75, 112.30 and 68.41 is: 102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 112.30 = 68.41 : x
  2. Step 2: Convert to fraction form
    74.75/112.30 = 68.41/x
  3. Step 3: Cross multiply
    74.75x = 112.30 × 68.41
  4. Step 4: Simplify right side
    74.75x = 7,682.44
  5. Step 5: Solve for x
    x = 7,682.44/74.75
  6. Step 6: Final answer
    x = 102.78

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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.