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Finding the Fourth Proportional to 54,761.40, 82,163.70 and 21,475.80

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Solution

The fourth proportional to 54,761.40, 82,163.70 and 21,475.80 is: 32,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,761.40 : 82,163.70 = 21,475.80 : x
  2. Step 2: Convert to fraction form
    54,761.40/82,163.70 = 21,475.80/x
  3. Step 3: Cross multiply
    54,761.40x = 82,163.70 × 21,475.80
  4. Step 4: Simplify right side
    54,761.40x = 1,764,531,188.46
  5. Step 5: Solve for x
    x = 1,764,531,188.46/54,761.40
  6. Step 6: Final answer
    x = 32,222.17

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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.