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Finding the Fourth Proportional to 140,976.54, 194,550.12 and 77,313.78

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Solution

The fourth proportional to 140,976.54, 194,550.12 and 77,313.78 is: 106,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,976.54 : 194,550.12 = 77,313.78 : x
  2. Step 2: Convert to fraction form
    140,976.54/194,550.12 = 77,313.78/x
  3. Step 3: Cross multiply
    140,976.54x = 194,550.12 × 77,313.78
  4. Step 4: Simplify right side
    140,976.54x = 15,041,405,176.65
  5. Step 5: Solve for x
    x = 15,041,405,176.65/140,976.54
  6. Step 6: Final answer
    x = 106,694.38

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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.