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Finding the Fourth Proportional to 150,819.96, 225,885.42 and 71,989.68

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Solution

The fourth proportional to 150,819.96, 225,885.42 and 71,989.68 is: 107,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,819.96 : 225,885.42 = 71,989.68 : x
  2. Step 2: Convert to fraction form
    150,819.96/225,885.42 = 71,989.68/x
  3. Step 3: Cross multiply
    150,819.96x = 225,885.42 × 71,989.68
  4. Step 4: Simplify right side
    150,819.96x = 16,261,419,102.47
  5. Step 5: Solve for x
    x = 16,261,419,102.47/150,819.96
  6. Step 6: Final answer
    x = 107,820.07

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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.