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Finding the Fourth Proportional to 270,729.86, 406,163.91 and 81,189.50

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Solution

The fourth proportional to 270,729.86, 406,163.91 and 81,189.50 is: 121,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,729.86 : 406,163.91 = 81,189.50 : x
  2. Step 2: Convert to fraction form
    270,729.86/406,163.91 = 81,189.50/x
  3. Step 3: Cross multiply
    270,729.86x = 406,163.91 × 81,189.50
  4. Step 4: Simplify right side
    270,729.86x = 32,976,244,770.95
  5. Step 5: Solve for x
    x = 32,976,244,770.95/270,729.86
  6. Step 6: Final answer
    x = 121,804.98

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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.