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Finding the Fourth Proportional to 54.62, 81.93 and 50.57

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Solution

The fourth proportional to 54.62, 81.93 and 50.57 is: 75.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.62 : 81.93 = 50.57 : x
  2. Step 2: Convert to fraction form
    54.62/81.93 = 50.57/x
  3. Step 3: Cross multiply
    54.62x = 81.93 × 50.57
  4. Step 4: Simplify right side
    54.62x = 4,143.20
  5. Step 5: Solve for x
    x = 4,143.20/54.62
  6. Step 6: Final answer
    x = 75.86

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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.