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Finding the Fourth Proportional to 259,911.04, 389,880.48 and 82,431.52

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Solution

The fourth proportional to 259,911.04, 389,880.48 and 82,431.52 is: 123,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,911.04 : 389,880.48 = 82,431.52 : x
  2. Step 2: Convert to fraction form
    259,911.04/389,880.48 = 82,431.52/x
  3. Step 3: Cross multiply
    259,911.04x = 389,880.48 × 82,431.52
  4. Step 4: Simplify right side
    259,911.04x = 32,138,440,584.73
  5. Step 5: Solve for x
    x = 32,138,440,584.73/259,911.04
  6. Step 6: Final answer
    x = 123,651.69

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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.