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Finding the Fourth Proportional to 138,876, 208,270.80 and 50,117.88

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Solution

The fourth proportional to 138,876, 208,270.80 and 50,117.88 is: 75,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876 : 208,270.80 = 50,117.88 : x
  2. Step 2: Convert to fraction form
    138,876/208,270.80 = 50,117.88/x
  3. Step 3: Cross multiply
    138,876x = 208,270.80 × 50,117.88
  4. Step 4: Simplify right side
    138,876x = 10,438,090,961.90
  5. Step 5: Solve for x
    x = 10,438,090,961.90/138,876
  6. Step 6: Final answer
    x = 75,161.23

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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.