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Finding the Fourth Proportional to 131,797.94, 181,873.96 and 78,087.92

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Solution

The fourth proportional to 131,797.94, 181,873.96 and 78,087.92 is: 107,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,797.94 : 181,873.96 = 78,087.92 : x
  2. Step 2: Convert to fraction form
    131,797.94/181,873.96 = 78,087.92/x
  3. Step 3: Cross multiply
    131,797.94x = 181,873.96 × 78,087.92
  4. Step 4: Simplify right side
    131,797.94x = 14,202,159,238.56
  5. Step 5: Solve for x
    x = 14,202,159,238.56/131,797.94
  6. Step 6: Final answer
    x = 107,757.07

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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.