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Finding the Fourth Proportional to 78.20, 107.96 and 54.92

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Solution

The fourth proportional to 78.20, 107.96 and 54.92 is: 75.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.20 : 107.96 = 54.92 : x
  2. Step 2: Convert to fraction form
    78.20/107.96 = 54.92/x
  3. Step 3: Cross multiply
    78.20x = 107.96 × 54.92
  4. Step 4: Simplify right side
    78.20x = 5,929.16
  5. Step 5: Solve for x
    x = 5,929.16/78.20
  6. Step 6: Final answer
    x = 75.82

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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.