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Finding the Fourth Proportional to 259,883.73, 389,880.68 and 82,367.37

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Solution

The fourth proportional to 259,883.73, 389,880.68 and 82,367.37 is: 123,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,883.73 : 389,880.68 = 82,367.37 : x
  2. Step 2: Convert to fraction form
    259,883.73/389,880.68 = 82,367.37/x
  3. Step 3: Cross multiply
    259,883.73x = 389,880.68 × 82,367.37
  4. Step 4: Simplify right side
    259,883.73x = 32,113,445,813.57
  5. Step 5: Solve for x
    x = 32,113,445,813.57/259,883.73
  6. Step 6: Final answer
    x = 123,568.51

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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.