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Finding the Fourth Proportional to 68,203.75, 102,305.64 and 20,819.11

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Solution

The fourth proportional to 68,203.75, 102,305.64 and 20,819.11 is: 31,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,203.75 : 102,305.64 = 20,819.11 : x
  2. Step 2: Convert to fraction form
    68,203.75/102,305.64 = 20,819.11/x
  3. Step 3: Cross multiply
    68,203.75x = 102,305.64 × 20,819.11
  4. Step 4: Simplify right side
    68,203.75x = 2,129,912,064.97
  5. Step 5: Solve for x
    x = 2,129,912,064.97/68,203.75
  6. Step 6: Final answer
    x = 31,228.66

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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.