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Finding the Fourth Proportional to 83,436, 125,198.10 and 45,512.64

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Solution

The fourth proportional to 83,436, 125,198.10 and 45,512.64 is: 68,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,436 : 125,198.10 = 45,512.64 : x
  2. Step 2: Convert to fraction form
    83,436/125,198.10 = 45,512.64/x
  3. Step 3: Cross multiply
    83,436x = 125,198.10 × 45,512.64
  4. Step 4: Simplify right side
    83,436x = 5,698,096,053.98
  5. Step 5: Solve for x
    x = 5,698,096,053.98/83,436
  6. Step 6: Final answer
    x = 68,293.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.