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Finding the Fourth Proportional to 84,212.78, 116,198.09 and 47,912.10

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Solution

The fourth proportional to 84,212.78, 116,198.09 and 47,912.10 is: 66,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,212.78 : 116,198.09 = 47,912.10 : x
  2. Step 2: Convert to fraction form
    84,212.78/116,198.09 = 47,912.10/x
  3. Step 3: Cross multiply
    84,212.78x = 116,198.09 × 47,912.10
  4. Step 4: Simplify right side
    84,212.78x = 5,567,294,268.33
  5. Step 5: Solve for x
    x = 5,567,294,268.33/84,212.78
  6. Step 6: Final answer
    x = 66,109.85

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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.