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Finding the Fourth Proportional to 215,134.71, 322,689.72 and 82,028.40

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Solution

The fourth proportional to 215,134.71, 322,689.72 and 82,028.40 is: 123,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,134.71 : 322,689.72 = 82,028.40 : x
  2. Step 2: Convert to fraction form
    215,134.71/322,689.72 = 82,028.40/x
  3. Step 3: Cross multiply
    215,134.71x = 322,689.72 × 82,028.40
  4. Step 4: Simplify right side
    215,134.71x = 26,469,721,428.05
  5. Step 5: Solve for x
    x = 26,469,721,428.05/215,134.71
  6. Step 6: Final answer
    x = 123,037.89

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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.