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Finding the Fourth Proportional to 270,186, 405,279 and 73,194

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Solution

The fourth proportional to 270,186, 405,279 and 73,194 is: 109,791

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,186 : 405,279 = 73,194 : x
  2. Step 2: Convert to fraction form
    270,186/405,279 = 73,194/x
  3. Step 3: Cross multiply
    270,186x = 405,279 × 73,194
  4. Step 4: Simplify right side
    270,186x = 29,663,991,126
  5. Step 5: Solve for x
    x = 29,663,991,126/270,186
  6. Step 6: Final answer
    x = 109,791

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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.