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Finding the Fourth Proportional to 204,696.30, 306,935.10 and 86,233.80

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Solution

The fourth proportional to 204,696.30, 306,935.10 and 86,233.80 is: 129,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,696.30 : 306,935.10 = 86,233.80 : x
  2. Step 2: Convert to fraction form
    204,696.30/306,935.10 = 86,233.80/x
  3. Step 3: Cross multiply
    204,696.30x = 306,935.10 × 86,233.80
  4. Step 4: Simplify right side
    204,696.30x = 26,468,180,026.38
  5. Step 5: Solve for x
    x = 26,468,180,026.38/204,696.30
  6. Step 6: Final answer
    x = 129,304.63

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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.