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Finding the Fourth Proportional to 54,794, 82,141.68 and 19,709

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Solution

The fourth proportional to 54,794, 82,141.68 and 19,709 is: 29,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,794 : 82,141.68 = 19,709 : x
  2. Step 2: Convert to fraction form
    54,794/82,141.68 = 19,709/x
  3. Step 3: Cross multiply
    54,794x = 82,141.68 × 19,709
  4. Step 4: Simplify right side
    54,794x = 1,618,930,371.12
  5. Step 5: Solve for x
    x = 1,618,930,371.12/54,794
  6. Step 6: Final answer
    x = 29,545.76

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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.