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Finding the Fourth Proportional to 303,702, 455,553.12 and 82,086

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Solution

The fourth proportional to 303,702, 455,553.12 and 82,086 is: 123,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,702 : 455,553.12 = 82,086 : x
  2. Step 2: Convert to fraction form
    303,702/455,553.12 = 82,086/x
  3. Step 3: Cross multiply
    303,702x = 455,553.12 × 82,086
  4. Step 4: Simplify right side
    303,702x = 37,394,533,408.32
  5. Step 5: Solve for x
    x = 37,394,533,408.32/303,702
  6. Step 6: Final answer
    x = 123,129.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.