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Finding the Fourth Proportional to 272,757.58, 409,198.28 and 83,234.86

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Solution

The fourth proportional to 272,757.58, 409,198.28 and 83,234.86 is: 124,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,757.58 : 409,198.28 = 83,234.86 : x
  2. Step 2: Convert to fraction form
    272,757.58/409,198.28 = 83,234.86/x
  3. Step 3: Cross multiply
    272,757.58x = 409,198.28 × 83,234.86
  4. Step 4: Simplify right side
    272,757.58x = 34,059,561,548.04
  5. Step 5: Solve for x
    x = 34,059,561,548.04/272,757.58
  6. Step 6: Final answer
    x = 124,871.18

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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.