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Finding the Fourth Proportional to 73.72, 111.04 and 68.41

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Solution

The fourth proportional to 73.72, 111.04 and 68.41 is: 103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.72 : 111.04 = 68.41 : x
  2. Step 2: Convert to fraction form
    73.72/111.04 = 68.41/x
  3. Step 3: Cross multiply
    73.72x = 111.04 × 68.41
  4. Step 4: Simplify right side
    73.72x = 7,596.25
  5. Step 5: Solve for x
    x = 7,596.25/73.72
  6. Step 6: Final answer
    x = 103.04

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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.