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Finding the Fourth Proportional to 76.38, 105.41 and 48.75

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Solution

The fourth proportional to 76.38, 105.41 and 48.75 is: 67.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.38 : 105.41 = 48.75 : x
  2. Step 2: Convert to fraction form
    76.38/105.41 = 48.75/x
  3. Step 3: Cross multiply
    76.38x = 105.41 × 48.75
  4. Step 4: Simplify right side
    76.38x = 5,138.86
  5. Step 5: Solve for x
    x = 5,138.86/76.38
  6. Step 6: Final answer
    x = 67.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.