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Finding the Fourth Proportional to 215,299.71, 322,971.59 and 82,291.92

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Solution

The fourth proportional to 215,299.71, 322,971.59 and 82,291.92 is: 123,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,299.71 : 322,971.59 = 82,291.92 : x
  2. Step 2: Convert to fraction form
    215,299.71/322,971.59 = 82,291.92/x
  3. Step 3: Cross multiply
    215,299.71x = 322,971.59 × 82,291.92
  4. Step 4: Simplify right side
    215,299.71x = 26,577,951,835.09
  5. Step 5: Solve for x
    x = 26,577,951,835.09/215,299.71
  6. Step 6: Final answer
    x = 123,446.30

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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.