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Finding the Fourth Proportional to 270,941.23, 406,396.22 and 81,397.54

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Solution

The fourth proportional to 270,941.23, 406,396.22 and 81,397.54 is: 122,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,941.23 : 406,396.22 = 81,397.54 : x
  2. Step 2: Convert to fraction form
    270,941.23/406,396.22 = 81,397.54/x
  3. Step 3: Cross multiply
    270,941.23x = 406,396.22 × 81,397.54
  4. Step 4: Simplify right side
    270,941.23x = 33,079,651,150.32
  5. Step 5: Solve for x
    x = 33,079,651,150.32/270,941.23
  6. Step 6: Final answer
    x = 122,091.61

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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.