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Finding the Fourth Proportional to 259,737.70, 389,618.70 and 82,258.60

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Solution

The fourth proportional to 259,737.70, 389,618.70 and 82,258.60 is: 123,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,737.70 : 389,618.70 = 82,258.60 : x
  2. Step 2: Convert to fraction form
    259,737.70/389,618.70 = 82,258.60/x
  3. Step 3: Cross multiply
    259,737.70x = 389,618.70 × 82,258.60
  4. Step 4: Simplify right side
    259,737.70x = 32,049,488,795.82
  5. Step 5: Solve for x
    x = 32,049,488,795.82/259,737.70
  6. Step 6: Final answer
    x = 123,391.75

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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.