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Finding the Fourth Proportional to 259,497.52, 389,212.80 and 82,022.48

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Solution

The fourth proportional to 259,497.52, 389,212.80 and 82,022.48 is: 123,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,497.52 : 389,212.80 = 82,022.48 : x
  2. Step 2: Convert to fraction form
    259,497.52/389,212.80 = 82,022.48/x
  3. Step 3: Cross multiply
    259,497.52x = 389,212.80 × 82,022.48
  4. Step 4: Simplify right side
    259,497.52x = 31,924,199,103.74
  5. Step 5: Solve for x
    x = 31,924,199,103.74/259,497.52
  6. Step 6: Final answer
    x = 123,023.14

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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.