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Finding the Fourth Proportional to 234,481.77, 351,755.46 and 76,678.79

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Solution

The fourth proportional to 234,481.77, 351,755.46 and 76,678.79 is: 115,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,481.77 : 351,755.46 = 76,678.79 : x
  2. Step 2: Convert to fraction form
    234,481.77/351,755.46 = 76,678.79/x
  3. Step 3: Cross multiply
    234,481.77x = 351,755.46 × 76,678.79
  4. Step 4: Simplify right side
    234,481.77x = 26,972,181,289.92
  5. Step 5: Solve for x
    x = 26,972,181,289.92/234,481.77
  6. Step 6: Final answer
    x = 115,028.91

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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.