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Finding the Fourth Proportional to 221,806.62, 332,588.34 and 109,239.30

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Solution

The fourth proportional to 221,806.62, 332,588.34 and 109,239.30 is: 163,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,806.62 : 332,588.34 = 109,239.30 : x
  2. Step 2: Convert to fraction form
    221,806.62/332,588.34 = 109,239.30/x
  3. Step 3: Cross multiply
    221,806.62x = 332,588.34 × 109,239.30
  4. Step 4: Simplify right side
    221,806.62x = 36,331,717,449.76
  5. Step 5: Solve for x
    x = 36,331,717,449.76/221,806.62
  6. Step 6: Final answer
    x = 163,799.07

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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.