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Finding the Fourth Proportional to 54,542.79, 81,815.20 and 17,102.03

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Solution

The fourth proportional to 54,542.79, 81,815.20 and 17,102.03 is: 25,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,542.79 : 81,815.20 = 17,102.03 : x
  2. Step 2: Convert to fraction form
    54,542.79/81,815.20 = 17,102.03/x
  3. Step 3: Cross multiply
    54,542.79x = 81,815.20 × 17,102.03
  4. Step 4: Simplify right side
    54,542.79x = 1,399,205,553.02
  5. Step 5: Solve for x
    x = 1,399,205,553.02/54,542.79
  6. Step 6: Final answer
    x = 25,653.35

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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.