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Finding the Fourth Proportional to 221,902.35, 332,755.09 and 137,659.11

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Solution

The fourth proportional to 221,902.35, 332,755.09 and 137,659.11 is: 206,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,902.35 : 332,755.09 = 137,659.11 : x
  2. Step 2: Convert to fraction form
    221,902.35/332,755.09 = 137,659.11/x
  3. Step 3: Cross multiply
    221,902.35x = 332,755.09 × 137,659.11
  4. Step 4: Simplify right side
    221,902.35x = 45,806,769,537.37
  5. Step 5: Solve for x
    x = 45,806,769,537.37/221,902.35
  6. Step 6: Final answer
    x = 206,427.60

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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.