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Finding the Fourth Proportional to 270,777.23, 406,221.89 and 81,229.94

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Solution

The fourth proportional to 270,777.23, 406,221.89 and 81,229.94 is: 121,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,777.23 : 406,221.89 = 81,229.94 : x
  2. Step 2: Convert to fraction form
    270,777.23/406,221.89 = 81,229.94/x
  3. Step 3: Cross multiply
    270,777.23x = 406,221.89 × 81,229.94
  4. Step 4: Simplify right side
    270,777.23x = 32,997,378,837.46
  5. Step 5: Solve for x
    x = 32,997,378,837.46/270,777.23
  6. Step 6: Final answer
    x = 121,861.72

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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.