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Finding the Fourth Proportional to 260,249.82, 390,377.52 and 91,738.80

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Solution

The fourth proportional to 260,249.82, 390,377.52 and 91,738.80 is: 137,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,249.82 : 390,377.52 = 91,738.80 : x
  2. Step 2: Convert to fraction form
    260,249.82/390,377.52 = 91,738.80/x
  3. Step 3: Cross multiply
    260,249.82x = 390,377.52 × 91,738.80
  4. Step 4: Simplify right side
    260,249.82x = 35,812,765,231.78
  5. Step 5: Solve for x
    x = 35,812,765,231.78/260,249.82
  6. Step 6: Final answer
    x = 137,609.18

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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.