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Finding the Fourth Proportional to 61,200.28, 91,800.42 and 19,676.44

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Solution

The fourth proportional to 61,200.28, 91,800.42 and 19,676.44 is: 29,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,200.28 : 91,800.42 = 19,676.44 : x
  2. Step 2: Convert to fraction form
    61,200.28/91,800.42 = 19,676.44/x
  3. Step 3: Cross multiply
    61,200.28x = 91,800.42 × 19,676.44
  4. Step 4: Simplify right side
    61,200.28x = 1,806,305,456.10
  5. Step 5: Solve for x
    x = 1,806,305,456.10/61,200.28
  6. Step 6: Final answer
    x = 29,514.66

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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.