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Finding the Fourth Proportional to 74.75, 111.98 and 49.01

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Solution

The fourth proportional to 74.75, 111.98 and 49.01 is: 73.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 111.98 = 49.01 : x
  2. Step 2: Convert to fraction form
    74.75/111.98 = 49.01/x
  3. Step 3: Cross multiply
    74.75x = 111.98 × 49.01
  4. Step 4: Simplify right side
    74.75x = 5,487.70
  5. Step 5: Solve for x
    x = 5,487.70/74.75
  6. Step 6: Final answer
    x = 73.42

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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.