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Finding the Fourth Proportional to 140,318.92, 193,640.79 and 76,657.78

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Solution

The fourth proportional to 140,318.92, 193,640.79 and 76,657.78 is: 105,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,318.92 : 193,640.79 = 76,657.78 : x
  2. Step 2: Convert to fraction form
    140,318.92/193,640.79 = 76,657.78/x
  3. Step 3: Cross multiply
    140,318.92x = 193,640.79 × 76,657.78
  4. Step 4: Simplify right side
    140,318.92x = 14,844,073,078.85
  5. Step 5: Solve for x
    x = 14,844,073,078.85/140,318.92
  6. Step 6: Final answer
    x = 105,788.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.