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Finding the Fourth Proportional to 270,732.12, 406,190.46 and 81,197.12

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Solution

The fourth proportional to 270,732.12, 406,190.46 and 81,197.12 is: 121,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,732.12 : 406,190.46 = 81,197.12 : x
  2. Step 2: Convert to fraction form
    270,732.12/406,190.46 = 81,197.12/x
  3. Step 3: Cross multiply
    270,732.12x = 406,190.46 × 81,197.12
  4. Step 4: Simplify right side
    270,732.12x = 32,981,493,492.52
  5. Step 5: Solve for x
    x = 32,981,493,492.52/270,732.12
  6. Step 6: Final answer
    x = 121,823.35

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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.