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Finding the Fourth Proportional to 221,002, 331,601.37 and 115,796.38

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Solution

The fourth proportional to 221,002, 331,601.37 and 115,796.38 is: 173,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,002 : 331,601.37 = 115,796.38 : x
  2. Step 2: Convert to fraction form
    221,002/331,601.37 = 115,796.38/x
  3. Step 3: Cross multiply
    221,002x = 331,601.37 × 115,796.38
  4. Step 4: Simplify right side
    221,002x = 38,398,238,249.04
  5. Step 5: Solve for x
    x = 38,398,238,249.04/221,002
  6. Step 6: Final answer
    x = 173,746.11

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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.