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Finding the Fourth Proportional to 83,884.26, 115,700.46 and 51,576.54

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Solution

The fourth proportional to 83,884.26, 115,700.46 and 51,576.54 is: 71,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,884.26 : 115,700.46 = 51,576.54 : x
  2. Step 2: Convert to fraction form
    83,884.26/115,700.46 = 51,576.54/x
  3. Step 3: Cross multiply
    83,884.26x = 115,700.46 × 51,576.54
  4. Step 4: Simplify right side
    83,884.26x = 5,967,429,403.21
  5. Step 5: Solve for x
    x = 5,967,429,403.21/83,884.26
  6. Step 6: Final answer
    x = 71,138.85

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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.