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Finding the Fourth Proportional to 77,826, 116,717.74 and 27,896.79

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Solution

The fourth proportional to 77,826, 116,717.74 and 27,896.79 is: 41,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,826 : 116,717.74 = 27,896.79 : x
  2. Step 2: Convert to fraction form
    77,826/116,717.74 = 27,896.79/x
  3. Step 3: Cross multiply
    77,826x = 116,717.74 × 27,896.79
  4. Step 4: Simplify right side
    77,826x = 3,256,050,282.05
  5. Step 5: Solve for x
    x = 3,256,050,282.05/77,826
  6. Step 6: Final answer
    x = 41,837.56

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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.