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Finding the Fourth Proportional to 83,209.14, 114,815.34 and 47,399.85

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Solution

The fourth proportional to 83,209.14, 114,815.34 and 47,399.85 is: 65,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.14 : 114,815.34 = 47,399.85 : x
  2. Step 2: Convert to fraction form
    83,209.14/114,815.34 = 47,399.85/x
  3. Step 3: Cross multiply
    83,209.14x = 114,815.34 × 47,399.85
  4. Step 4: Simplify right side
    83,209.14x = 5,442,229,893.70
  5. Step 5: Solve for x
    x = 5,442,229,893.70/83,209.14
  6. Step 6: Final answer
    x = 65,404.23

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1.5x scale

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.