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Finding the Fourth Proportional to 138,694.50, 191,399.99 and 78,265.87

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Solution

The fourth proportional to 138,694.50, 191,399.99 and 78,265.87 is: 108,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,694.50 : 191,399.99 = 78,265.87 : x
  2. Step 2: Convert to fraction form
    138,694.50/191,399.99 = 78,265.87/x
  3. Step 3: Cross multiply
    138,694.50x = 191,399.99 × 78,265.87
  4. Step 4: Simplify right side
    138,694.50x = 14,980,086,735.34
  5. Step 5: Solve for x
    x = 14,980,086,735.34/138,694.50
  6. Step 6: Final answer
    x = 108,007.79

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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.