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Finding the Fourth Proportional to 72,976.96, 100,708.34 and 41,145.78

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Solution

The fourth proportional to 72,976.96, 100,708.34 and 41,145.78 is: 56,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,976.96 : 100,708.34 = 41,145.78 : x
  2. Step 2: Convert to fraction form
    72,976.96/100,708.34 = 41,145.78/x
  3. Step 3: Cross multiply
    72,976.96x = 100,708.34 × 41,145.78
  4. Step 4: Simplify right side
    72,976.96x = 4,143,723,201.81
  5. Step 5: Solve for x
    x = 4,143,723,201.81/72,976.96
  6. Step 6: Final answer
    x = 56,781.25

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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.