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Finding the Fourth Proportional to 81,829.60, 122,614.80 and 68,610.40

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Solution

The fourth proportional to 81,829.60, 122,614.80 and 68,610.40 is: 102,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,829.60 : 122,614.80 = 68,610.40 : x
  2. Step 2: Convert to fraction form
    81,829.60/122,614.80 = 68,610.40/x
  3. Step 3: Cross multiply
    81,829.60x = 122,614.80 × 68,610.40
  4. Step 4: Simplify right side
    81,829.60x = 8,412,650,473.92
  5. Step 5: Solve for x
    x = 8,412,650,473.92/81,829.60
  6. Step 6: Final answer
    x = 102,806.94

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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.