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Finding the Fourth Proportional to 76,591.92, 114,872.66 and 72,794.37

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Solution

The fourth proportional to 76,591.92, 114,872.66 and 72,794.37 is: 109,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,591.92 : 114,872.66 = 72,794.37 : x
  2. Step 2: Convert to fraction form
    76,591.92/114,872.66 = 72,794.37/x
  3. Step 3: Cross multiply
    76,591.92x = 114,872.66 × 72,794.37
  4. Step 4: Simplify right side
    76,591.92x = 8,362,082,340.56
  5. Step 5: Solve for x
    x = 8,362,082,340.56/76,591.92
  6. Step 6: Final answer
    x = 109,177.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.