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Finding the Fourth Proportional to 138,855.92, 208,240.80 and 50,097.88

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Solution

The fourth proportional to 138,855.92, 208,240.80 and 50,097.88 is: 75,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,855.92 : 208,240.80 = 50,097.88 : x
  2. Step 2: Convert to fraction form
    138,855.92/208,240.80 = 50,097.88/x
  3. Step 3: Cross multiply
    138,855.92x = 208,240.80 × 50,097.88
  4. Step 4: Simplify right side
    138,855.92x = 10,432,422,609.50
  5. Step 5: Solve for x
    x = 10,432,422,609.50/138,855.92
  6. Step 6: Final answer
    x = 75,131.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.