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Finding the Fourth Proportional to 54,109, 81,092.22 and 22,905.64

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Solution

The fourth proportional to 54,109, 81,092.22 and 22,905.64 is: 34,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,109 : 81,092.22 = 22,905.64 : x
  2. Step 2: Convert to fraction form
    54,109/81,092.22 = 22,905.64/x
  3. Step 3: Cross multiply
    54,109x = 81,092.22 × 22,905.64
  4. Step 4: Simplify right side
    54,109x = 1,857,469,198.12
  5. Step 5: Solve for x
    x = 1,857,469,198.12/54,109
  6. Step 6: Final answer
    x = 34,328.29

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1.5x scale

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.