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Finding the Fourth Proportional to 151,481.67, 209,041.81 and 82,571.73

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Solution

The fourth proportional to 151,481.67, 209,041.81 and 82,571.73 is: 113,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,481.67 : 209,041.81 = 82,571.73 : x
  2. Step 2: Convert to fraction form
    151,481.67/209,041.81 = 82,571.73/x
  3. Step 3: Cross multiply
    151,481.67x = 209,041.81 × 82,571.73
  4. Step 4: Simplify right side
    151,481.67x = 17,260,943,687.60
  5. Step 5: Solve for x
    x = 17,260,943,687.60/151,481.67
  6. Step 6: Final answer
    x = 113,947.41

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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.