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Finding the Fourth Proportional to 270,676.73, 406,071.14 and 81,129.44

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Solution

The fourth proportional to 270,676.73, 406,071.14 and 81,129.44 is: 121,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,676.73 : 406,071.14 = 81,129.44 : x
  2. Step 2: Convert to fraction form
    270,676.73/406,071.14 = 81,129.44/x
  3. Step 3: Cross multiply
    270,676.73x = 406,071.14 × 81,129.44
  4. Step 4: Simplify right side
    270,676.73x = 32,944,324,797.89
  5. Step 5: Solve for x
    x = 32,944,324,797.89/270,676.73
  6. Step 6: Final answer
    x = 121,710.96

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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.