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Finding the Fourth Proportional to 208,481.78, 312,722.75 and 50,709.26

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Solution

The fourth proportional to 208,481.78, 312,722.75 and 50,709.26 is: 76,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,481.78 : 312,722.75 = 50,709.26 : x
  2. Step 2: Convert to fraction form
    208,481.78/312,722.75 = 50,709.26/x
  3. Step 3: Cross multiply
    208,481.78x = 312,722.75 × 50,709.26
  4. Step 4: Simplify right side
    208,481.78x = 15,857,939,237.67
  5. Step 5: Solve for x
    x = 15,857,939,237.67/208,481.78
  6. Step 6: Final answer
    x = 76,063.91

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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.