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Finding the Fourth Proportional to 269,105.80, 403,655.46 and 82,117.84

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Solution

The fourth proportional to 269,105.80, 403,655.46 and 82,117.84 is: 123,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,105.80 : 403,655.46 = 82,117.84 : x
  2. Step 2: Convert to fraction form
    269,105.80/403,655.46 = 82,117.84/x
  3. Step 3: Cross multiply
    269,105.80x = 403,655.46 × 82,117.84
  4. Step 4: Simplify right side
    269,105.80x = 33,147,314,479.41
  5. Step 5: Solve for x
    x = 33,147,314,479.41/269,105.80
  6. Step 6: Final answer
    x = 123,175.77

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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.