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Finding the Fourth Proportional to 40,077, 60,116.31 and 12,375

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Solution

The fourth proportional to 40,077, 60,116.31 and 12,375 is: 18,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,077 : 60,116.31 = 12,375 : x
  2. Step 2: Convert to fraction form
    40,077/60,116.31 = 12,375/x
  3. Step 3: Cross multiply
    40,077x = 60,116.31 × 12,375
  4. Step 4: Simplify right side
    40,077x = 743,939,336.25
  5. Step 5: Solve for x
    x = 743,939,336.25/40,077
  6. Step 6: Final answer
    x = 18,562.75

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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.