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Finding the Fourth Proportional to 68,593.77, 102,894.30 and 21,843

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Solution

The fourth proportional to 68,593.77, 102,894.30 and 21,843 is: 32,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,593.77 : 102,894.30 = 21,843 : x
  2. Step 2: Convert to fraction form
    68,593.77/102,894.30 = 21,843/x
  3. Step 3: Cross multiply
    68,593.77x = 102,894.30 × 21,843
  4. Step 4: Simplify right side
    68,593.77x = 2,247,520,194.90
  5. Step 5: Solve for x
    x = 2,247,520,194.90/68,593.77
  6. Step 6: Final answer
    x = 32,765.66

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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.