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Finding the Fourth Proportional to 73,142.68, 100,936.38 and 41,317.78

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Solution

The fourth proportional to 73,142.68, 100,936.38 and 41,317.78 is: 57,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.68 : 100,936.38 = 41,317.78 : x
  2. Step 2: Convert to fraction form
    73,142.68/100,936.38 = 41,317.78/x
  3. Step 3: Cross multiply
    73,142.68x = 100,936.38 × 41,317.78
  4. Step 4: Simplify right side
    73,142.68x = 4,170,467,142.84
  5. Step 5: Solve for x
    x = 4,170,467,142.84/73,142.68
  6. Step 6: Final answer
    x = 57,018.24

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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.