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Finding the Fourth Proportional to 78,273.72, 117,428.46 and 33,907.86

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Solution

The fourth proportional to 78,273.72, 117,428.46 and 33,907.86 is: 50,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,273.72 : 117,428.46 = 33,907.86 : x
  2. Step 2: Convert to fraction form
    78,273.72/117,428.46 = 33,907.86/x
  3. Step 3: Cross multiply
    78,273.72x = 117,428.46 × 33,907.86
  4. Step 4: Simplify right side
    78,273.72x = 3,981,747,781.70
  5. Step 5: Solve for x
    x = 3,981,747,781.70/78,273.72
  6. Step 6: Final answer
    x = 50,869.54

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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.