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Finding the Fourth Proportional to 54,891.65, 82,361.37 and 21,635.89

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Solution

The fourth proportional to 54,891.65, 82,361.37 and 21,635.89 is: 32,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,891.65 : 82,361.37 = 21,635.89 : x
  2. Step 2: Convert to fraction form
    54,891.65/82,361.37 = 21,635.89/x
  3. Step 3: Cross multiply
    54,891.65x = 82,361.37 × 21,635.89
  4. Step 4: Simplify right side
    54,891.65x = 1,781,961,541.57
  5. Step 5: Solve for x
    x = 1,781,961,541.57/54,891.65
  6. Step 6: Final answer
    x = 32,463.25

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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.