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Finding the Fourth Proportional to 138,251.62, 190,790.80 and 77,824.44

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Solution

The fourth proportional to 138,251.62, 190,790.80 and 77,824.44 is: 107,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,251.62 : 190,790.80 = 77,824.44 : x
  2. Step 2: Convert to fraction form
    138,251.62/190,790.80 = 77,824.44/x
  3. Step 3: Cross multiply
    138,251.62x = 190,790.80 × 77,824.44
  4. Step 4: Simplify right side
    138,251.62x = 14,848,187,167.15
  5. Step 5: Solve for x
    x = 14,848,187,167.15/138,251.62
  6. Step 6: Final answer
    x = 107,399.73

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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.