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Finding the Fourth Proportional to 80.52, 110.46 and 78.72

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Solution

The fourth proportional to 80.52, 110.46 and 78.72 is: 107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.52 : 110.46 = 78.72 : x
  2. Step 2: Convert to fraction form
    80.52/110.46 = 78.72/x
  3. Step 3: Cross multiply
    80.52x = 110.46 × 78.72
  4. Step 4: Simplify right side
    80.52x = 8,695.41
  5. Step 5: Solve for x
    x = 8,695.41/80.52
  6. Step 6: Final answer
    x = 107.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.