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Finding the Fourth Proportional to 68,193.80, 102,288.28 and 20,806.98

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Solution

The fourth proportional to 68,193.80, 102,288.28 and 20,806.98 is: 31,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,193.80 : 102,288.28 = 20,806.98 : x
  2. Step 2: Convert to fraction form
    68,193.80/102,288.28 = 20,806.98/x
  3. Step 3: Cross multiply
    68,193.80x = 102,288.28 × 20,806.98
  4. Step 4: Simplify right side
    68,193.80x = 2,128,310,196.19
  5. Step 5: Solve for x
    x = 2,128,310,196.19/68,193.80
  6. Step 6: Final answer
    x = 31,209.73

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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.