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Finding the Fourth Proportional to 76,227, 114,340.50 and 20,823

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Solution

The fourth proportional to 76,227, 114,340.50 and 20,823 is: 31,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,227 : 114,340.50 = 20,823 : x
  2. Step 2: Convert to fraction form
    76,227/114,340.50 = 20,823/x
  3. Step 3: Cross multiply
    76,227x = 114,340.50 × 20,823
  4. Step 4: Simplify right side
    76,227x = 2,380,912,231.50
  5. Step 5: Solve for x
    x = 2,380,912,231.50/76,227
  6. Step 6: Final answer
    x = 31,234.50

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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.