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Finding the Fourth Proportional to 84,137.70, 126,209.79 and 21,806.58

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Solution

The fourth proportional to 84,137.70, 126,209.79 and 21,806.58 is: 32,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,137.70 : 126,209.79 = 21,806.58 : x
  2. Step 2: Convert to fraction form
    84,137.70/126,209.79 = 21,806.58/x
  3. Step 3: Cross multiply
    84,137.70x = 126,209.79 × 21,806.58
  4. Step 4: Simplify right side
    84,137.70x = 2,752,203,882.42
  5. Step 5: Solve for x
    x = 2,752,203,882.42/84,137.70
  6. Step 6: Final answer
    x = 32,710.71

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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.