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Finding the Fourth Proportional to 83,879.70, 115,715.84 and 49,868.88

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Solution

The fourth proportional to 83,879.70, 115,715.84 and 49,868.88 is: 68,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,879.70 : 115,715.84 = 49,868.88 : x
  2. Step 2: Convert to fraction form
    83,879.70/115,715.84 = 49,868.88/x
  3. Step 3: Cross multiply
    83,879.70x = 115,715.84 × 49,868.88
  4. Step 4: Simplify right side
    83,879.70x = 5,770,619,089.71
  5. Step 5: Solve for x
    x = 5,770,619,089.71/83,879.70
  6. Step 6: Final answer
    x = 68,796.37

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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.