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Finding the Fourth Proportional to 138,852, 208,234.80 and 50,093.88

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Solution

The fourth proportional to 138,852, 208,234.80 and 50,093.88 is: 75,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852 : 208,234.80 = 50,093.88 : x
  2. Step 2: Convert to fraction form
    138,852/208,234.80 = 50,093.88/x
  3. Step 3: Cross multiply
    138,852x = 208,234.80 × 50,093.88
  4. Step 4: Simplify right side
    138,852x = 10,431,289,083.02
  5. Step 5: Solve for x
    x = 10,431,289,083.02/138,852
  6. Step 6: Final answer
    x = 75,125.23

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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.