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Finding the Fourth Proportional to 216,147.78, 324,183.87 and 97,791.30

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Solution

The fourth proportional to 216,147.78, 324,183.87 and 97,791.30 is: 146,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,147.78 : 324,183.87 = 97,791.30 : x
  2. Step 2: Convert to fraction form
    216,147.78/324,183.87 = 97,791.30/x
  3. Step 3: Cross multiply
    216,147.78x = 324,183.87 × 97,791.30
  4. Step 4: Simplify right side
    216,147.78x = 31,702,362,086.33
  5. Step 5: Solve for x
    x = 31,702,362,086.33/216,147.78
  6. Step 6: Final answer
    x = 146,669.85

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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.