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Finding the Fourth Proportional to 138,591.99, 191,256.01 and 78,163.15

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Solution

The fourth proportional to 138,591.99, 191,256.01 and 78,163.15 is: 107,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,591.99 : 191,256.01 = 78,163.15 : x
  2. Step 2: Convert to fraction form
    138,591.99/191,256.01 = 78,163.15/x
  3. Step 3: Cross multiply
    138,591.99x = 191,256.01 × 78,163.15
  4. Step 4: Simplify right side
    138,591.99x = 14,949,172,198.03
  5. Step 5: Solve for x
    x = 14,949,172,198.03/138,591.99
  6. Step 6: Final answer
    x = 107,864.62

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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.