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Finding the Fourth Proportional to 200,540.40, 300,664.80 and 82,150.80

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Solution

The fourth proportional to 200,540.40, 300,664.80 and 82,150.80 is: 123,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,540.40 : 300,664.80 = 82,150.80 : x
  2. Step 2: Convert to fraction form
    200,540.40/300,664.80 = 82,150.80/x
  3. Step 3: Cross multiply
    200,540.40x = 300,664.80 × 82,150.80
  4. Step 4: Simplify right side
    200,540.40x = 24,699,853,851.84
  5. Step 5: Solve for x
    x = 24,699,853,851.84/200,540.40
  6. Step 6: Final answer
    x = 123,166.47

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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.