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Finding the Fourth Proportional to 215,809.40, 323,616.90 and 82,645.40

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Solution

The fourth proportional to 215,809.40, 323,616.90 and 82,645.40 is: 123,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,809.40 : 323,616.90 = 82,645.40 : x
  2. Step 2: Convert to fraction form
    215,809.40/323,616.90 = 82,645.40/x
  3. Step 3: Cross multiply
    215,809.40x = 323,616.90 × 82,645.40
  4. Step 4: Simplify right side
    215,809.40x = 26,745,448,147.26
  5. Step 5: Solve for x
    x = 26,745,448,147.26/215,809.40
  6. Step 6: Final answer
    x = 123,930.88

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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.