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Finding the Fourth Proportional to 81,728.25, 122,599.42 and 22,563.93

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Solution

The fourth proportional to 81,728.25, 122,599.42 and 22,563.93 is: 33,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,728.25 : 122,599.42 = 22,563.93 : x
  2. Step 2: Convert to fraction form
    81,728.25/122,599.42 = 22,563.93/x
  3. Step 3: Cross multiply
    81,728.25x = 122,599.42 × 22,563.93
  4. Step 4: Simplify right side
    81,728.25x = 2,766,324,730.92
  5. Step 5: Solve for x
    x = 2,766,324,730.92/81,728.25
  6. Step 6: Final answer
    x = 33,847.84

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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.