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Finding the Fourth Proportional to 138,857.56, 208,243.30 and 50,099.52

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Solution

The fourth proportional to 138,857.56, 208,243.30 and 50,099.52 is: 75,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,857.56 : 208,243.30 = 50,099.52 : x
  2. Step 2: Convert to fraction form
    138,857.56/208,243.30 = 50,099.52/x
  3. Step 3: Cross multiply
    138,857.56x = 208,243.30 × 50,099.52
  4. Step 4: Simplify right side
    138,857.56x = 10,432,889,373.22
  5. Step 5: Solve for x
    x = 10,432,889,373.22/138,857.56
  6. Step 6: Final answer
    x = 75,133.75

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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.