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Finding the Fourth Proportional to 68,451.14, 102,676.64 and 25,764.54

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Solution

The fourth proportional to 68,451.14, 102,676.64 and 25,764.54 is: 38,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,451.14 : 102,676.64 = 25,764.54 : x
  2. Step 2: Convert to fraction form
    68,451.14/102,676.64 = 25,764.54/x
  3. Step 3: Cross multiply
    68,451.14x = 102,676.64 × 25,764.54
  4. Step 4: Simplify right side
    68,451.14x = 2,645,416,398.35
  5. Step 5: Solve for x
    x = 2,645,416,398.35/68,451.14
  6. Step 6: Final answer
    x = 38,646.78

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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.