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Finding the Fourth Proportional to 204,084, 281,662.53 and 123,512.91

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Solution

The fourth proportional to 204,084, 281,662.53 and 123,512.91 is: 170,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,084 : 281,662.53 = 123,512.91 : x
  2. Step 2: Convert to fraction form
    204,084/281,662.53 = 123,512.91/x
  3. Step 3: Cross multiply
    204,084x = 281,662.53 × 123,512.91
  4. Step 4: Simplify right side
    204,084x = 34,788,958,718.26
  5. Step 5: Solve for x
    x = 34,788,958,718.26/204,084
  6. Step 6: Final answer
    x = 170,463.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.