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Finding the Fourth Proportional to 259,583.70, 389,387.70 and 82,104.60

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Solution

The fourth proportional to 259,583.70, 389,387.70 and 82,104.60 is: 123,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,583.70 : 389,387.70 = 82,104.60 : x
  2. Step 2: Convert to fraction form
    259,583.70/389,387.70 = 82,104.60/x
  3. Step 3: Cross multiply
    259,583.70x = 389,387.70 × 82,104.60
  4. Step 4: Simplify right side
    259,583.70x = 31,970,521,353.42
  5. Step 5: Solve for x
    x = 31,970,521,353.42/259,583.70
  6. Step 6: Final answer
    x = 123,160.74

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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.