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Finding the Fourth Proportional to 54,651.88, 81,989.34 and 17,713

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Solution

The fourth proportional to 54,651.88, 81,989.34 and 17,713 is: 26,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,651.88 : 81,989.34 = 17,713 : x
  2. Step 2: Convert to fraction form
    54,651.88/81,989.34 = 17,713/x
  3. Step 3: Cross multiply
    54,651.88x = 81,989.34 × 17,713
  4. Step 4: Simplify right side
    54,651.88x = 1,452,277,179.42
  5. Step 5: Solve for x
    x = 1,452,277,179.42/54,651.88
  6. Step 6: Final answer
    x = 26,573.23

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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.