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Finding the Fourth Proportional to 263,910.76, 395,893.82 and 86,431.61

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Solution

The fourth proportional to 263,910.76, 395,893.82 and 86,431.61 is: 129,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,910.76 : 395,893.82 = 86,431.61 : x
  2. Step 2: Convert to fraction form
    263,910.76/395,893.82 = 86,431.61/x
  3. Step 3: Cross multiply
    263,910.76x = 395,893.82 × 86,431.61
  4. Step 4: Simplify right side
    263,910.76x = 34,217,738,622.84
  5. Step 5: Solve for x
    x = 34,217,738,622.84/263,910.76
  6. Step 6: Final answer
    x = 129,656.48

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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.