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Finding the Fourth Proportional to 83,379, 115,063.42 and 47,568.64

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Solution

The fourth proportional to 83,379, 115,063.42 and 47,568.64 is: 65,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,379 : 115,063.42 = 47,568.64 : x
  2. Step 2: Convert to fraction form
    83,379/115,063.42 = 47,568.64/x
  3. Step 3: Cross multiply
    83,379x = 115,063.42 × 47,568.64
  4. Step 4: Simplify right side
    83,379x = 5,473,410,403.15
  5. Step 5: Solve for x
    x = 5,473,410,403.15/83,379
  6. Step 6: Final answer
    x = 65,644.95

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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.