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Finding the Fourth Proportional to 231,634.56, 319,600.56 and 140,989.44

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Solution

The fourth proportional to 231,634.56, 319,600.56 and 140,989.44 is: 194,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,634.56 : 319,600.56 = 140,989.44 : x
  2. Step 2: Convert to fraction form
    231,634.56/319,600.56 = 140,989.44/x
  3. Step 3: Cross multiply
    231,634.56x = 319,600.56 × 140,989.44
  4. Step 4: Simplify right side
    231,634.56x = 45,060,303,978.09
  5. Step 5: Solve for x
    x = 45,060,303,978.09/231,634.56
  6. Step 6: Final answer
    x = 194,531.87

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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.