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Finding the Fourth Proportional to 81,930.60, 122,766.30 and 68,711.40

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Solution

The fourth proportional to 81,930.60, 122,766.30 and 68,711.40 is: 102,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.60 : 122,766.30 = 68,711.40 : x
  2. Step 2: Convert to fraction form
    81,930.60/122,766.30 = 68,711.40/x
  3. Step 3: Cross multiply
    81,930.60x = 122,766.30 × 68,711.40
  4. Step 4: Simplify right side
    81,930.60x = 8,435,444,345.82
  5. Step 5: Solve for x
    x = 8,435,444,345.82/81,930.60
  6. Step 6: Final answer
    x = 102,958.41

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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.