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Finding the Fourth Proportional to 72,082.87, 108,163.08 and 29,992

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Solution

The fourth proportional to 72,082.87, 108,163.08 and 29,992 is: 45,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,082.87 : 108,163.08 = 29,992 : x
  2. Step 2: Convert to fraction form
    72,082.87/108,163.08 = 29,992/x
  3. Step 3: Cross multiply
    72,082.87x = 108,163.08 × 29,992
  4. Step 4: Simplify right side
    72,082.87x = 3,244,027,095.36
  5. Step 5: Solve for x
    x = 3,244,027,095.36/72,082.87
  6. Step 6: Final answer
    x = 45,004.13

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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.