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Finding the Fourth Proportional to 57,879.73, 86,846.61 and 20,468.14

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Solution

The fourth proportional to 57,879.73, 86,846.61 and 20,468.14 is: 30,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,879.73 : 86,846.61 = 20,468.14 : x
  2. Step 2: Convert to fraction form
    57,879.73/86,846.61 = 20,468.14/x
  3. Step 3: Cross multiply
    57,879.73x = 86,846.61 × 20,468.14
  4. Step 4: Simplify right side
    57,879.73x = 1,777,588,572.01
  5. Step 5: Solve for x
    x = 1,777,588,572.01/57,879.73
  6. Step 6: Final answer
    x = 30,711.76

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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.