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Finding the Fourth Proportional to 68,193.44, 102,291.24 and 20,809.52

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Solution

The fourth proportional to 68,193.44, 102,291.24 and 20,809.52 is: 31,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,193.44 : 102,291.24 = 20,809.52 : x
  2. Step 2: Convert to fraction form
    68,193.44/102,291.24 = 20,809.52/x
  3. Step 3: Cross multiply
    68,193.44x = 102,291.24 × 20,809.52
  4. Step 4: Simplify right side
    68,193.44x = 2,128,631,604.60
  5. Step 5: Solve for x
    x = 2,128,631,604.60/68,193.44
  6. Step 6: Final answer
    x = 31,214.61

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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.