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Finding the Fourth Proportional to 54,534.40, 81,805.02 and 21,243.40

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Solution

The fourth proportional to 54,534.40, 81,805.02 and 21,243.40 is: 31,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,534.40 : 81,805.02 = 21,243.40 : x
  2. Step 2: Convert to fraction form
    54,534.40/81,805.02 = 21,243.40/x
  3. Step 3: Cross multiply
    54,534.40x = 81,805.02 × 21,243.40
  4. Step 4: Simplify right side
    54,534.40x = 1,737,816,761.87
  5. Step 5: Solve for x
    x = 1,737,816,761.87/54,534.40
  6. Step 6: Final answer
    x = 31,866.43

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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.