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Finding the Fourth Proportional to 74.40, 112 and 67.68

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Solution

The fourth proportional to 74.40, 112 and 67.68 is: 101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.40 : 112 = 67.68 : x
  2. Step 2: Convert to fraction form
    74.40/112 = 67.68/x
  3. Step 3: Cross multiply
    74.40x = 112 × 67.68
  4. Step 4: Simplify right side
    74.40x = 7,580.16
  5. Step 5: Solve for x
    x = 7,580.16/74.40
  6. Step 6: Final answer
    x = 101.88

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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.