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Finding the Fourth Proportional to 57,293.94, 85,920.36 and 19,843.94

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Solution

The fourth proportional to 57,293.94, 85,920.36 and 19,843.94 is: 29,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,293.94 : 85,920.36 = 19,843.94 : x
  2. Step 2: Convert to fraction form
    57,293.94/85,920.36 = 19,843.94/x
  3. Step 3: Cross multiply
    57,293.94x = 85,920.36 × 19,843.94
  4. Step 4: Simplify right side
    57,293.94x = 1,704,998,468.62
  5. Step 5: Solve for x
    x = 1,704,998,468.62/57,293.94
  6. Step 6: Final answer
    x = 29,758.79

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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.