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Finding the Fourth Proportional to 83,791.25, 115,619.90 and 49,315.49

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Solution

The fourth proportional to 83,791.25, 115,619.90 and 49,315.49 is: 68,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,791.25 : 115,619.90 = 49,315.49 : x
  2. Step 2: Convert to fraction form
    83,791.25/115,619.90 = 49,315.49/x
  3. Step 3: Cross multiply
    83,791.25x = 115,619.90 × 49,315.49
  4. Step 4: Simplify right side
    83,791.25x = 5,701,852,022.25
  5. Step 5: Solve for x
    x = 5,701,852,022.25/83,791.25
  6. Step 6: Final answer
    x = 68,048.30

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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.