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Finding the Fourth Proportional to 83,198.49, 114,825.87 and 47,391.90

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Solution

The fourth proportional to 83,198.49, 114,825.87 and 47,391.90 is: 65,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198.49 : 114,825.87 = 47,391.90 : x
  2. Step 2: Convert to fraction form
    83,198.49/114,825.87 = 47,391.90/x
  3. Step 3: Cross multiply
    83,198.49x = 114,825.87 × 47,391.90
  4. Step 4: Simplify right side
    83,198.49x = 5,441,816,148.45
  5. Step 5: Solve for x
    x = 5,441,816,148.45/83,198.49
  6. Step 6: Final answer
    x = 65,407.63

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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.