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Finding the Fourth Proportional to 161,641.09, 242,491.05 and 66,819.78

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Solution

The fourth proportional to 161,641.09, 242,491.05 and 66,819.78 is: 100,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,641.09 : 242,491.05 = 66,819.78 : x
  2. Step 2: Convert to fraction form
    161,641.09/242,491.05 = 66,819.78/x
  3. Step 3: Cross multiply
    161,641.09x = 242,491.05 × 66,819.78
  4. Step 4: Simplify right side
    161,641.09x = 16,203,198,612.97
  5. Step 5: Solve for x
    x = 16,203,198,612.97/161,641.09
  6. Step 6: Final answer
    x = 100,241.83

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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.