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Finding the Fourth Proportional to 200,541.72, 300,879.58 and 65,611.97

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Solution

The fourth proportional to 200,541.72, 300,879.58 and 65,611.97 is: 98,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,541.72 : 300,879.58 = 65,611.97 : x
  2. Step 2: Convert to fraction form
    200,541.72/300,879.58 = 65,611.97/x
  3. Step 3: Cross multiply
    200,541.72x = 300,879.58 × 65,611.97
  4. Step 4: Simplify right side
    200,541.72x = 19,741,301,976.57
  5. Step 5: Solve for x
    x = 19,741,301,976.57/200,541.72
  6. Step 6: Final answer
    x = 98,439.88

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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.