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Finding the Fourth Proportional to 84,041.22, 115,976.90 and 45,800.78

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Solution

The fourth proportional to 84,041.22, 115,976.90 and 45,800.78 is: 63,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,041.22 : 115,976.90 = 45,800.78 : x
  2. Step 2: Convert to fraction form
    84,041.22/115,976.90 = 45,800.78/x
  3. Step 3: Cross multiply
    84,041.22x = 115,976.90 × 45,800.78
  4. Step 4: Simplify right side
    84,041.22x = 5,311,832,481.98
  5. Step 5: Solve for x
    x = 5,311,832,481.98/84,041.22
  6. Step 6: Final answer
    x = 63,205.09

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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.