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Finding the Fourth Proportional to 65,872.92, 98,791.80 and 18,485.22

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Solution

The fourth proportional to 65,872.92, 98,791.80 and 18,485.22 is: 27,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,872.92 : 98,791.80 = 18,485.22 : x
  2. Step 2: Convert to fraction form
    65,872.92/98,791.80 = 18,485.22/x
  3. Step 3: Cross multiply
    65,872.92x = 98,791.80 × 18,485.22
  4. Step 4: Simplify right side
    65,872.92x = 1,826,188,157.20
  5. Step 5: Solve for x
    x = 1,826,188,157.20/65,872.92
  6. Step 6: Final answer
    x = 27,722.90

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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.