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Finding the Fourth Proportional to 100,110.96, 138,183.96 and 57,697.80

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Solution

The fourth proportional to 100,110.96, 138,183.96 and 57,697.80 is: 79,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,110.96 : 138,183.96 = 57,697.80 : x
  2. Step 2: Convert to fraction form
    100,110.96/138,183.96 = 57,697.80/x
  3. Step 3: Cross multiply
    100,110.96x = 138,183.96 × 57,697.80
  4. Step 4: Simplify right side
    100,110.96x = 7,972,910,487.29
  5. Step 5: Solve for x
    x = 7,972,910,487.29/100,110.96
  6. Step 6: Final answer
    x = 79,640.74

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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.