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Finding the Fourth Proportional to 259,725.40, 389,624.55 and 82,213.90

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Solution

The fourth proportional to 259,725.40, 389,624.55 and 82,213.90 is: 123,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,725.40 : 389,624.55 = 82,213.90 : x
  2. Step 2: Convert to fraction form
    259,725.40/389,624.55 = 82,213.90/x
  3. Step 3: Cross multiply
    259,725.40x = 389,624.55 × 82,213.90
  4. Step 4: Simplify right side
    259,725.40x = 32,032,553,791.25
  5. Step 5: Solve for x
    x = 32,032,553,791.25/259,725.40
  6. Step 6: Final answer
    x = 123,332.39

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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.