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Finding the Fourth Proportional to 81,711.88, 122,583.27 and 28,401.85

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Solution

The fourth proportional to 81,711.88, 122,583.27 and 28,401.85 is: 42,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.88 : 122,583.27 = 28,401.85 : x
  2. Step 2: Convert to fraction form
    81,711.88/122,583.27 = 28,401.85/x
  3. Step 3: Cross multiply
    81,711.88x = 122,583.27 × 28,401.85
  4. Step 4: Simplify right side
    81,711.88x = 3,481,591,647.05
  5. Step 5: Solve for x
    x = 3,481,591,647.05/81,711.88
  6. Step 6: Final answer
    x = 42,608.15

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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.