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Finding the Fourth Proportional to 331,469.96, 496,872 and 106,665.16

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Solution

The fourth proportional to 331,469.96, 496,872 and 106,665.16 is: 159,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,469.96 : 496,872 = 106,665.16 : x
  2. Step 2: Convert to fraction form
    331,469.96/496,872 = 106,665.16/x
  3. Step 3: Cross multiply
    331,469.96x = 496,872 × 106,665.16
  4. Step 4: Simplify right side
    331,469.96x = 52,998,931,379.52
  5. Step 5: Solve for x
    x = 52,998,931,379.52/331,469.96
  6. Step 6: Final answer
    x = 159,890.60

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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.