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Finding the Fourth Proportional to 72,976.75, 100,698.96 and 42,755.14

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Solution

The fourth proportional to 72,976.75, 100,698.96 and 42,755.14 is: 58,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,976.75 : 100,698.96 = 42,755.14 : x
  2. Step 2: Convert to fraction form
    72,976.75/100,698.96 = 42,755.14/x
  3. Step 3: Cross multiply
    72,976.75x = 100,698.96 × 42,755.14
  4. Step 4: Simplify right side
    72,976.75x = 4,305,398,418.86
  5. Step 5: Solve for x
    x = 4,305,398,418.86/72,976.75
  6. Step 6: Final answer
    x = 58,996.85

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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.