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Finding the Fourth Proportional to 71,917.77, 107,876.56 and 19,327.26

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Solution

The fourth proportional to 71,917.77, 107,876.56 and 19,327.26 is: 28,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,917.77 : 107,876.56 = 19,327.26 : x
  2. Step 2: Convert to fraction form
    71,917.77/107,876.56 = 19,327.26/x
  3. Step 3: Cross multiply
    71,917.77x = 107,876.56 × 19,327.26
  4. Step 4: Simplify right side
    71,917.77x = 2,084,958,323.03
  5. Step 5: Solve for x
    x = 2,084,958,323.03/71,917.77
  6. Step 6: Final answer
    x = 28,990.86

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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.