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Finding the Fourth Proportional to 74.24, 111.34 and 53.78

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Solution

The fourth proportional to 74.24, 111.34 and 53.78 is: 80.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.24 : 111.34 = 53.78 : x
  2. Step 2: Convert to fraction form
    74.24/111.34 = 53.78/x
  3. Step 3: Cross multiply
    74.24x = 111.34 × 53.78
  4. Step 4: Simplify right side
    74.24x = 5,987.87
  5. Step 5: Solve for x
    x = 5,987.87/74.24
  6. Step 6: Final answer
    x = 80.66

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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.