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Finding the Fourth Proportional to 259,651.92, 389,463.20 and 91,180

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Solution

The fourth proportional to 259,651.92, 389,463.20 and 91,180 is: 136,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,651.92 : 389,463.20 = 91,180 : x
  2. Step 2: Convert to fraction form
    259,651.92/389,463.20 = 91,180/x
  3. Step 3: Cross multiply
    259,651.92x = 389,463.20 × 91,180
  4. Step 4: Simplify right side
    259,651.92x = 35,511,254,576
  5. Step 5: Solve for x
    x = 35,511,254,576/259,651.92
  6. Step 6: Final answer
    x = 136,764.84

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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.