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Finding the Fourth Proportional to 220,723.68, 330,971.28 and 108,353.76

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Solution

The fourth proportional to 220,723.68, 330,971.28 and 108,353.76 is: 162,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,723.68 : 330,971.28 = 108,353.76 : x
  2. Step 2: Convert to fraction form
    220,723.68/330,971.28 = 108,353.76/x
  3. Step 3: Cross multiply
    220,723.68x = 330,971.28 × 108,353.76
  4. Step 4: Simplify right side
    220,723.68x = 35,861,982,640.01
  5. Step 5: Solve for x
    x = 35,861,982,640.01/220,723.68
  6. Step 6: Final answer
    x = 162,474.56

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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.