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Finding the Fourth Proportional to 74.87, 111.72 and 68.39

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Solution

The fourth proportional to 74.87, 111.72 and 68.39 is: 102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.87 : 111.72 = 68.39 : x
  2. Step 2: Convert to fraction form
    74.87/111.72 = 68.39/x
  3. Step 3: Cross multiply
    74.87x = 111.72 × 68.39
  4. Step 4: Simplify right side
    74.87x = 7,640.53
  5. Step 5: Solve for x
    x = 7,640.53/74.87
  6. Step 6: Final answer
    x = 102.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.