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Finding the Fourth Proportional to 81,806.20, 122,709.30 and 80,423.80

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Solution

The fourth proportional to 81,806.20, 122,709.30 and 80,423.80 is: 120,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.20 : 122,709.30 = 80,423.80 : x
  2. Step 2: Convert to fraction form
    81,806.20/122,709.30 = 80,423.80/x
  3. Step 3: Cross multiply
    81,806.20x = 122,709.30 × 80,423.80
  4. Step 4: Simplify right side
    81,806.20x = 9,868,748,201.34
  5. Step 5: Solve for x
    x = 9,868,748,201.34/81,806.20
  6. Step 6: Final answer
    x = 120,635.70

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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.