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Finding the Fourth Proportional to 215,978.83, 298,048.36 and 119,183.43

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Solution

The fourth proportional to 215,978.83, 298,048.36 and 119,183.43 is: 164,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,978.83 : 298,048.36 = 119,183.43 : x
  2. Step 2: Convert to fraction form
    215,978.83/298,048.36 = 119,183.43/x
  3. Step 3: Cross multiply
    215,978.83x = 298,048.36 × 119,183.43
  4. Step 4: Simplify right side
    215,978.83x = 35,522,425,850.67
  5. Step 5: Solve for x
    x = 35,522,425,850.67/215,978.83
  6. Step 6: Final answer
    x = 164,471.79

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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.