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Finding the Fourth Proportional to 200,540.72, 300,878.08 and 65,610.97

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Solution

The fourth proportional to 200,540.72, 300,878.08 and 65,610.97 is: 98,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,540.72 : 300,878.08 = 65,610.97 : x
  2. Step 2: Convert to fraction form
    200,540.72/300,878.08 = 65,610.97/x
  3. Step 3: Cross multiply
    200,540.72x = 300,878.08 × 65,610.97
  4. Step 4: Simplify right side
    200,540.72x = 19,740,901,764.32
  5. Step 5: Solve for x
    x = 19,740,901,764.32/200,540.72
  6. Step 6: Final answer
    x = 98,438.37

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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.