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Finding the Fourth Proportional to 204,606.84, 306,591.94 and 78,178.12

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Solution

The fourth proportional to 204,606.84, 306,591.94 and 78,178.12 is: 117,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,606.84 : 306,591.94 = 78,178.12 : x
  2. Step 2: Convert to fraction form
    204,606.84/306,591.94 = 78,178.12/x
  3. Step 3: Cross multiply
    204,606.84x = 306,591.94 × 78,178.12
  4. Step 4: Simplify right side
    204,606.84x = 23,968,781,476.35
  5. Step 5: Solve for x
    x = 23,968,781,476.35/204,606.84
  6. Step 6: Final answer
    x = 117,145.55

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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.