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Finding the Fourth Proportional to 68,192.80, 102,286.78 and 20,805.98

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Solution

The fourth proportional to 68,192.80, 102,286.78 and 20,805.98 is: 31,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,192.80 : 102,286.78 = 20,805.98 : x
  2. Step 2: Convert to fraction form
    68,192.80/102,286.78 = 20,805.98/x
  3. Step 3: Cross multiply
    68,192.80x = 102,286.78 × 20,805.98
  4. Step 4: Simplify right side
    68,192.80x = 2,128,176,135.50
  5. Step 5: Solve for x
    x = 2,128,176,135.50/68,192.80
  6. Step 6: Final answer
    x = 31,208.22

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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.