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Finding the Fourth Proportional to 231,908.68, 320,034.70 and 135,169.78

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Solution

The fourth proportional to 231,908.68, 320,034.70 and 135,169.78 is: 186,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,908.68 : 320,034.70 = 135,169.78 : x
  2. Step 2: Convert to fraction form
    231,908.68/320,034.70 = 135,169.78/x
  3. Step 3: Cross multiply
    231,908.68x = 320,034.70 × 135,169.78
  4. Step 4: Simplify right side
    231,908.68x = 43,259,019,991.37
  5. Step 5: Solve for x
    x = 43,259,019,991.37/231,908.68
  6. Step 6: Final answer
    x = 186,534.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.