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Finding the Fourth Proportional to 68,161.69, 102,083.82 and 65,797

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Solution

The fourth proportional to 68,161.69, 102,083.82 and 65,797 is: 98,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,161.69 : 102,083.82 = 65,797 : x
  2. Step 2: Convert to fraction form
    68,161.69/102,083.82 = 65,797/x
  3. Step 3: Cross multiply
    68,161.69x = 102,083.82 × 65,797
  4. Step 4: Simplify right side
    68,161.69x = 6,716,809,104.54
  5. Step 5: Solve for x
    x = 6,716,809,104.54/68,161.69
  6. Step 6: Final answer
    x = 98,542.29

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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.