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Finding the Fourth Proportional to 81,957.80, 122,919.90 and 22,778.60

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Solution

The fourth proportional to 81,957.80, 122,919.90 and 22,778.60 is: 34,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,957.80 : 122,919.90 = 22,778.60 : x
  2. Step 2: Convert to fraction form
    81,957.80/122,919.90 = 22,778.60/x
  3. Step 3: Cross multiply
    81,957.80x = 122,919.90 × 22,778.60
  4. Step 4: Simplify right side
    81,957.80x = 2,799,943,234.14
  5. Step 5: Solve for x
    x = 2,799,943,234.14/81,957.80
  6. Step 6: Final answer
    x = 34,163.23

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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.