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Finding the Fourth Proportional to 136,684.33, 205,027.85 and 47,939.97

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Solution

The fourth proportional to 136,684.33, 205,027.85 and 47,939.97 is: 71,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,684.33 : 205,027.85 = 47,939.97 : x
  2. Step 2: Convert to fraction form
    136,684.33/205,027.85 = 47,939.97/x
  3. Step 3: Cross multiply
    136,684.33x = 205,027.85 × 47,939.97
  4. Step 4: Simplify right side
    136,684.33x = 9,829,028,978.16
  5. Step 5: Solve for x
    x = 9,829,028,978.16/136,684.33
  6. Step 6: Final answer
    x = 71,910.43

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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.