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Finding the Fourth Proportional to 84,754.56, 116,961.36 and 47,028.78

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Solution

The fourth proportional to 84,754.56, 116,961.36 and 47,028.78 is: 64,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,754.56 : 116,961.36 = 47,028.78 : x
  2. Step 2: Convert to fraction form
    84,754.56/116,961.36 = 47,028.78/x
  3. Step 3: Cross multiply
    84,754.56x = 116,961.36 × 47,028.78
  4. Step 4: Simplify right side
    84,754.56x = 5,500,550,067.94
  5. Step 5: Solve for x
    x = 5,500,550,067.94/84,754.56
  6. Step 6: Final answer
    x = 64,899.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.