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Finding the Fourth Proportional to 251,998.56, 347,757.86 and 138,821.31

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Solution

The fourth proportional to 251,998.56, 347,757.86 and 138,821.31 is: 191,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,998.56 : 347,757.86 = 138,821.31 : x
  2. Step 2: Convert to fraction form
    251,998.56/347,757.86 = 138,821.31/x
  3. Step 3: Cross multiply
    251,998.56x = 347,757.86 × 138,821.31
  4. Step 4: Simplify right side
    251,998.56x = 48,276,202,035.05
  5. Step 5: Solve for x
    x = 48,276,202,035.05/251,998.56
  6. Step 6: Final answer
    x = 191,573.33

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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.