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Finding the Fourth Proportional to 83,406, 115,101.09 and 49,872

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Solution

The fourth proportional to 83,406, 115,101.09 and 49,872 is: 68,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406 : 115,101.09 = 49,872 : x
  2. Step 2: Convert to fraction form
    83,406/115,101.09 = 49,872/x
  3. Step 3: Cross multiply
    83,406x = 115,101.09 × 49,872
  4. Step 4: Simplify right side
    83,406x = 5,740,321,560.48
  5. Step 5: Solve for x
    x = 5,740,321,560.48/83,406
  6. Step 6: Final answer
    x = 68,823.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.