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Finding the Fourth Proportional to 231,939.52, 320,139.60 and 136,477

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Solution

The fourth proportional to 231,939.52, 320,139.60 and 136,477 is: 188,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,939.52 : 320,139.60 = 136,477 : x
  2. Step 2: Convert to fraction form
    231,939.52/320,139.60 = 136,477/x
  3. Step 3: Cross multiply
    231,939.52x = 320,139.60 × 136,477
  4. Step 4: Simplify right side
    231,939.52x = 43,691,692,189.20
  5. Step 5: Solve for x
    x = 43,691,692,189.20/231,939.52
  6. Step 6: Final answer
    x = 188,375.37

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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.