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Finding the Fourth Proportional to 231,978.96, 347,883.08 and 80,137.41

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Solution

The fourth proportional to 231,978.96, 347,883.08 and 80,137.41 is: 120,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,978.96 : 347,883.08 = 80,137.41 : x
  2. Step 2: Convert to fraction form
    231,978.96/347,883.08 = 80,137.41/x
  3. Step 3: Cross multiply
    231,978.96x = 347,883.08 × 80,137.41
  4. Step 4: Simplify right side
    231,978.96x = 27,878,449,014.02
  5. Step 5: Solve for x
    x = 27,878,449,014.02/231,978.96
  6. Step 6: Final answer
    x = 120,176.63

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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.