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Finding the Fourth Proportional to 68,523.84, 102,763.89 and 21,765.78

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Solution

The fourth proportional to 68,523.84, 102,763.89 and 21,765.78 is: 32,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,523.84 : 102,763.89 = 21,765.78 : x
  2. Step 2: Convert to fraction form
    68,523.84/102,763.89 = 21,765.78/x
  3. Step 3: Cross multiply
    68,523.84x = 102,763.89 × 21,765.78
  4. Step 4: Simplify right side
    68,523.84x = 2,236,736,221.68
  5. Step 5: Solve for x
    x = 2,236,736,221.68/68,523.84
  6. Step 6: Final answer
    x = 32,641.72

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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.