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Finding the Fourth Proportional to 204,896.95, 307,170.09 and 78,627.80

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Solution

The fourth proportional to 204,896.95, 307,170.09 and 78,627.80 is: 117,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,896.95 : 307,170.09 = 78,627.80 : x
  2. Step 2: Convert to fraction form
    204,896.95/307,170.09 = 78,627.80/x
  3. Step 3: Cross multiply
    204,896.95x = 307,170.09 × 78,627.80
  4. Step 4: Simplify right side
    204,896.95x = 24,152,109,170.43
  5. Step 5: Solve for x
    x = 24,152,109,170.43/204,896.95
  6. Step 6: Final answer
    x = 117,874.42

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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.