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Finding the Fourth Proportional to 77.96, 116.37 and 72.83

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Solution

The fourth proportional to 77.96, 116.37 and 72.83 is: 108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.96 : 116.37 = 72.83 : x
  2. Step 2: Convert to fraction form
    77.96/116.37 = 72.83/x
  3. Step 3: Cross multiply
    77.96x = 116.37 × 72.83
  4. Step 4: Simplify right side
    77.96x = 8,475.83
  5. Step 5: Solve for x
    x = 8,475.83/77.96
  6. Step 6: Final answer
    x = 108.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.