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Finding the Fourth Proportional to 198,613.49, 297,826.47 and 72,164.52

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Solution

The fourth proportional to 198,613.49, 297,826.47 and 72,164.52 is: 108,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,613.49 : 297,826.47 = 72,164.52 : x
  2. Step 2: Convert to fraction form
    198,613.49/297,826.47 = 72,164.52/x
  3. Step 3: Cross multiply
    198,613.49x = 297,826.47 × 72,164.52
  4. Step 4: Simplify right side
    198,613.49x = 21,492,504,250.84
  5. Step 5: Solve for x
    x = 21,492,504,250.84/198,613.49
  6. Step 6: Final answer
    x = 108,212.71

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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.