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Finding the Fourth Proportional to 73,914.78, 102,002.49 and 40,380.78

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Solution

The fourth proportional to 73,914.78, 102,002.49 and 40,380.78 is: 55,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,914.78 : 102,002.49 = 40,380.78 : x
  2. Step 2: Convert to fraction form
    73,914.78/102,002.49 = 40,380.78/x
  3. Step 3: Cross multiply
    73,914.78x = 102,002.49 × 40,380.78
  4. Step 4: Simplify right side
    73,914.78x = 4,118,940,108.14
  5. Step 5: Solve for x
    x = 4,118,940,108.14/73,914.78
  6. Step 6: Final answer
    x = 55,725.53

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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.