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Finding the Fourth Proportional to 231,993, 320,144.90 and 136,505.88

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Solution

The fourth proportional to 231,993, 320,144.90 and 136,505.88 is: 188,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,993 : 320,144.90 = 136,505.88 : x
  2. Step 2: Convert to fraction form
    231,993/320,144.90 = 136,505.88/x
  3. Step 3: Cross multiply
    231,993x = 320,144.90 × 136,505.88
  4. Step 4: Simplify right side
    231,993x = 43,701,660,619.48
  5. Step 5: Solve for x
    x = 43,701,660,619.48/231,993
  6. Step 6: Final answer
    x = 188,374.91

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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.