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Finding the Fourth Proportional to 253,774, 380,667.08 and 85,296.43

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Solution

The fourth proportional to 253,774, 380,667.08 and 85,296.43 is: 127,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,774 : 380,667.08 = 85,296.43 : x
  2. Step 2: Convert to fraction form
    253,774/380,667.08 = 85,296.43/x
  3. Step 3: Cross multiply
    253,774x = 380,667.08 × 85,296.43
  4. Step 4: Simplify right side
    253,774x = 32,469,542,942.52
  5. Step 5: Solve for x
    x = 32,469,542,942.52/253,774
  6. Step 6: Final answer
    x = 127,946.69

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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.