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Finding the Fourth Proportional to 78.71, 108.68 and 57.96

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Solution

The fourth proportional to 78.71, 108.68 and 57.96 is: 80.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.71 : 108.68 = 57.96 : x
  2. Step 2: Convert to fraction form
    78.71/108.68 = 57.96/x
  3. Step 3: Cross multiply
    78.71x = 108.68 × 57.96
  4. Step 4: Simplify right side
    78.71x = 6,298.80
  5. Step 5: Solve for x
    x = 6,298.80/78.71
  6. Step 6: Final answer
    x = 80.03

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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.