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Finding the Fourth Proportional to 57,213.82, 85,808.99 and 21,662.87

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Solution

The fourth proportional to 57,213.82, 85,808.99 and 21,662.87 is: 32,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213.82 : 85,808.99 = 21,662.87 : x
  2. Step 2: Convert to fraction form
    57,213.82/85,808.99 = 21,662.87/x
  3. Step 3: Cross multiply
    57,213.82x = 85,808.99 × 21,662.87
  4. Step 4: Simplify right side
    57,213.82x = 1,858,868,995.20
  5. Step 5: Solve for x
    x = 1,858,868,995.20/57,213.82
  6. Step 6: Final answer
    x = 32,489.86

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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.