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Finding the Fourth Proportional to 54,841.88, 82,262.82 and 19,781.53

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Solution

The fourth proportional to 54,841.88, 82,262.82 and 19,781.53 is: 29,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841.88 : 82,262.82 = 19,781.53 : x
  2. Step 2: Convert to fraction form
    54,841.88/82,262.82 = 19,781.53/x
  3. Step 3: Cross multiply
    54,841.88x = 82,262.82 × 19,781.53
  4. Step 4: Simplify right side
    54,841.88x = 1,627,284,310.24
  5. Step 5: Solve for x
    x = 1,627,284,310.24/54,841.88
  6. Step 6: Final answer
    x = 29,672.29

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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.