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Finding the Fourth Proportional to 263,575.90, 395,388.12 and 86,083.84

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Solution

The fourth proportional to 263,575.90, 395,388.12 and 86,083.84 is: 129,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,575.90 : 395,388.12 = 86,083.84 : x
  2. Step 2: Convert to fraction form
    263,575.90/395,388.12 = 86,083.84/x
  3. Step 3: Cross multiply
    263,575.90x = 395,388.12 × 86,083.84
  4. Step 4: Simplify right side
    263,575.90x = 34,036,527,659.98
  5. Step 5: Solve for x
    x = 34,036,527,659.98/263,575.90
  6. Step 6: Final answer
    x = 129,133.69

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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.