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Finding the Fourth Proportional to 196,502.20, 294,753.30 and 71,891.80

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Solution

The fourth proportional to 196,502.20, 294,753.30 and 71,891.80 is: 107,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,502.20 : 294,753.30 = 71,891.80 : x
  2. Step 2: Convert to fraction form
    196,502.20/294,753.30 = 71,891.80/x
  3. Step 3: Cross multiply
    196,502.20x = 294,753.30 × 71,891.80
  4. Step 4: Simplify right side
    196,502.20x = 21,190,345,292.94
  5. Step 5: Solve for x
    x = 21,190,345,292.94/196,502.20
  6. Step 6: Final answer
    x = 107,837.70

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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.