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Finding the Fourth Proportional to 204,951.57, 307,477.38 and 78,589.56

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Solution

The fourth proportional to 204,951.57, 307,477.38 and 78,589.56 is: 117,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,951.57 : 307,477.38 = 78,589.56 : x
  2. Step 2: Convert to fraction form
    204,951.57/307,477.38 = 78,589.56/x
  3. Step 3: Cross multiply
    204,951.57x = 307,477.38 × 78,589.56
  4. Step 4: Simplify right side
    204,951.57x = 24,164,512,004.15
  5. Step 5: Solve for x
    x = 24,164,512,004.15/204,951.57
  6. Step 6: Final answer
    x = 117,903.52

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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.