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Finding the Fourth Proportional to 83,673.28, 115,696.47 and 82,321.39

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Solution

The fourth proportional to 83,673.28, 115,696.47 and 82,321.39 is: 113,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,673.28 : 115,696.47 = 82,321.39 : x
  2. Step 2: Convert to fraction form
    83,673.28/115,696.47 = 82,321.39/x
  3. Step 3: Cross multiply
    83,673.28x = 115,696.47 × 82,321.39
  4. Step 4: Simplify right side
    83,673.28x = 9,524,294,228.49
  5. Step 5: Solve for x
    x = 9,524,294,228.49/83,673.28
  6. Step 6: Final answer
    x = 113,827.19

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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.