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Finding the Fourth Proportional to 131,796.94, 181,872.58 and 78,086.92

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Solution

The fourth proportional to 131,796.94, 181,872.58 and 78,086.92 is: 107,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,796.94 : 181,872.58 = 78,086.92 : x
  2. Step 2: Convert to fraction form
    131,796.94/181,872.58 = 78,086.92/x
  3. Step 3: Cross multiply
    131,796.94x = 181,872.58 × 78,086.92
  4. Step 4: Simplify right side
    131,796.94x = 14,201,869,604.65
  5. Step 5: Solve for x
    x = 14,201,869,604.65/131,796.94
  6. Step 6: Final answer
    x = 107,755.69

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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.