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Finding the Fourth Proportional to 272,072.10, 408,109.09 and 82,534.10

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Solution

The fourth proportional to 272,072.10, 408,109.09 and 82,534.10 is: 123,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,072.10 : 408,109.09 = 82,534.10 : x
  2. Step 2: Convert to fraction form
    272,072.10/408,109.09 = 82,534.10/x
  3. Step 3: Cross multiply
    272,072.10x = 408,109.09 × 82,534.10
  4. Step 4: Simplify right side
    272,072.10x = 33,682,916,444.97
  5. Step 5: Solve for x
    x = 33,682,916,444.97/272,072.10
  6. Step 6: Final answer
    x = 123,801.44

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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.