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Finding the Fourth Proportional to 72,091.26, 107,991.90 and 35,958.78

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Solution

The fourth proportional to 72,091.26, 107,991.90 and 35,958.78 is: 53,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,091.26 : 107,991.90 = 35,958.78 : x
  2. Step 2: Convert to fraction form
    72,091.26/107,991.90 = 35,958.78/x
  3. Step 3: Cross multiply
    72,091.26x = 107,991.90 × 35,958.78
  4. Step 4: Simplify right side
    72,091.26x = 3,883,256,973.88
  5. Step 5: Solve for x
    x = 3,883,256,973.88/72,091.26
  6. Step 6: Final answer
    x = 53,865.85

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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.