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Finding the Fourth Proportional to 270,093.42, 405,077.13 and 80,536.38

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Solution

The fourth proportional to 270,093.42, 405,077.13 and 80,536.38 is: 120,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,093.42 : 405,077.13 = 80,536.38 : x
  2. Step 2: Convert to fraction form
    270,093.42/405,077.13 = 80,536.38/x
  3. Step 3: Cross multiply
    270,093.42x = 405,077.13 × 80,536.38
  4. Step 4: Simplify right side
    270,093.42x = 32,623,445,670.99
  5. Step 5: Solve for x
    x = 32,623,445,670.99/270,093.42
  6. Step 6: Final answer
    x = 120,785.78

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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.