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Finding the Fourth Proportional to 272,205.83, 408,309.41 and 82,667.64

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Solution

The fourth proportional to 272,205.83, 408,309.41 and 82,667.64 is: 124,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,205.83 : 408,309.41 = 82,667.64 : x
  2. Step 2: Convert to fraction form
    272,205.83/408,309.41 = 82,667.64/x
  3. Step 3: Cross multiply
    272,205.83x = 408,309.41 × 82,667.64
  4. Step 4: Simplify right side
    272,205.83x = 33,753,975,314.49
  5. Step 5: Solve for x
    x = 33,753,975,314.49/272,205.83
  6. Step 6: Final answer
    x = 124,001.66

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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.