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Finding the Fourth Proportional to 84,409.94, 126,633.63 and 31,819.88

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Solution

The fourth proportional to 84,409.94, 126,633.63 and 31,819.88 is: 47,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,409.94 : 126,633.63 = 31,819.88 : x
  2. Step 2: Convert to fraction form
    84,409.94/126,633.63 = 31,819.88/x
  3. Step 3: Cross multiply
    84,409.94x = 126,633.63 × 31,819.88
  4. Step 4: Simplify right side
    84,409.94x = 4,029,466,910.56
  5. Step 5: Solve for x
    x = 4,029,466,910.56/84,409.94
  6. Step 6: Final answer
    x = 47,736.88

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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.