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Finding the Fourth Proportional to 55,213.92, 82,761.75 and 21,887.82

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Solution

The fourth proportional to 55,213.92, 82,761.75 and 21,887.82 is: 32,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,213.92 : 82,761.75 = 21,887.82 : x
  2. Step 2: Convert to fraction form
    55,213.92/82,761.75 = 21,887.82/x
  3. Step 3: Cross multiply
    55,213.92x = 82,761.75 × 21,887.82
  4. Step 4: Simplify right side
    55,213.92x = 1,811,474,286.89
  5. Step 5: Solve for x
    x = 1,811,474,286.89/55,213.92
  6. Step 6: Final answer
    x = 32,808.29

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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.