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Finding the Fourth Proportional to 68,141.73, 102,213.49 and 21,394.60

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Solution

The fourth proportional to 68,141.73, 102,213.49 and 21,394.60 is: 32,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,141.73 : 102,213.49 = 21,394.60 : x
  2. Step 2: Convert to fraction form
    68,141.73/102,213.49 = 21,394.60/x
  3. Step 3: Cross multiply
    68,141.73x = 102,213.49 × 21,394.60
  4. Step 4: Simplify right side
    68,141.73x = 2,186,816,733.15
  5. Step 5: Solve for x
    x = 2,186,816,733.15/68,141.73
  6. Step 6: Final answer
    x = 32,092.18

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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.