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Finding the Fourth Proportional to 68,654.28, 102,991.96 and 29,200.80

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Solution

The fourth proportional to 68,654.28, 102,991.96 and 29,200.80 is: 43,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,654.28 : 102,991.96 = 29,200.80 : x
  2. Step 2: Convert to fraction form
    68,654.28/102,991.96 = 29,200.80/x
  3. Step 3: Cross multiply
    68,654.28x = 102,991.96 × 29,200.80
  4. Step 4: Simplify right side
    68,654.28x = 3,007,447,625.57
  5. Step 5: Solve for x
    x = 3,007,447,625.57/68,654.28
  6. Step 6: Final answer
    x = 43,805.68

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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.