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Finding the Fourth Proportional to 221,906.43, 332,826.84 and 81,632.25

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Solution

The fourth proportional to 221,906.43, 332,826.84 and 81,632.25 is: 122,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,906.43 : 332,826.84 = 81,632.25 : x
  2. Step 2: Convert to fraction form
    221,906.43/332,826.84 = 81,632.25/x
  3. Step 3: Cross multiply
    221,906.43x = 332,826.84 × 81,632.25
  4. Step 4: Simplify right side
    221,906.43x = 27,169,403,809.59
  5. Step 5: Solve for x
    x = 27,169,403,809.59/221,906.43
  6. Step 6: Final answer
    x = 122,436.31

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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.