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Finding the Fourth Proportional to 204,716.73, 306,864.63 and 78,327.30

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Solution

The fourth proportional to 204,716.73, 306,864.63 and 78,327.30 is: 117,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,716.73 : 306,864.63 = 78,327.30 : x
  2. Step 2: Convert to fraction form
    204,716.73/306,864.63 = 78,327.30/x
  3. Step 3: Cross multiply
    204,716.73x = 306,864.63 × 78,327.30
  4. Step 4: Simplify right side
    204,716.73x = 24,035,877,933.40
  5. Step 5: Solve for x
    x = 24,035,877,933.40/204,716.73
  6. Step 6: Final answer
    x = 117,410.42

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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.