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Finding the Fourth Proportional to 83,216.94, 115,614.10 and 82,220.49

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Solution

The fourth proportional to 83,216.94, 115,614.10 and 82,220.49 is: 114,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216.94 : 115,614.10 = 82,220.49 : x
  2. Step 2: Convert to fraction form
    83,216.94/115,614.10 = 82,220.49/x
  3. Step 3: Cross multiply
    83,216.94x = 115,614.10 × 82,220.49
  4. Step 4: Simplify right side
    83,216.94x = 9,505,848,554.28
  5. Step 5: Solve for x
    x = 9,505,848,554.28/83,216.94
  6. Step 6: Final answer
    x = 114,229.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.