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Finding the Fourth Proportional to 81,806.40, 122,774.40 and 31,910.40

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Solution

The fourth proportional to 81,806.40, 122,774.40 and 31,910.40 is: 47,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.40 : 122,774.40 = 31,910.40 : x
  2. Step 2: Convert to fraction form
    81,806.40/122,774.40 = 31,910.40/x
  3. Step 3: Cross multiply
    81,806.40x = 122,774.40 × 31,910.40
  4. Step 4: Simplify right side
    81,806.40x = 3,917,780,213.76
  5. Step 5: Solve for x
    x = 3,917,780,213.76/81,806.40
  6. Step 6: Final answer
    x = 47,890.88

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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.