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Finding the Fourth Proportional to 83,789.75, 115,617.83 and 49,313.99

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Solution

The fourth proportional to 83,789.75, 115,617.83 and 49,313.99 is: 68,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,789.75 : 115,617.83 = 49,313.99 : x
  2. Step 2: Convert to fraction form
    83,789.75/115,617.83 = 49,313.99/x
  3. Step 3: Cross multiply
    83,789.75x = 115,617.83 × 49,313.99
  4. Step 4: Simplify right side
    83,789.75x = 5,701,576,129.18
  5. Step 5: Solve for x
    x = 5,701,576,129.18/83,789.75
  6. Step 6: Final answer
    x = 68,046.22

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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.