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Finding the Fourth Proportional to 263,614.56, 395,370 and 86,127.84

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Solution

The fourth proportional to 263,614.56, 395,370 and 86,127.84 is: 129,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,614.56 : 395,370 = 86,127.84 : x
  2. Step 2: Convert to fraction form
    263,614.56/395,370 = 86,127.84/x
  3. Step 3: Cross multiply
    263,614.56x = 395,370 × 86,127.84
  4. Step 4: Simplify right side
    263,614.56x = 34,052,364,100.80
  5. Step 5: Solve for x
    x = 34,052,364,100.80/263,614.56
  6. Step 6: Final answer
    x = 129,174.82

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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.