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Finding the Fourth Proportional to 81,806.45, 122,659.41 and 31,828.34

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Solution

The fourth proportional to 81,806.45, 122,659.41 and 31,828.34 is: 47,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.45 : 122,659.41 = 31,828.34 : x
  2. Step 2: Convert to fraction form
    81,806.45/122,659.41 = 31,828.34/x
  3. Step 3: Cross multiply
    81,806.45x = 122,659.41 × 31,828.34
  4. Step 4: Simplify right side
    81,806.45x = 3,904,044,633.24
  5. Step 5: Solve for x
    x = 3,904,044,633.24/81,806.45
  6. Step 6: Final answer
    x = 47,722.94

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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.