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Finding the Fourth Proportional to 75,879.89, 113,764.43 and 31,445.52

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Solution

The fourth proportional to 75,879.89, 113,764.43 and 31,445.52 is: 47,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879.89 : 113,764.43 = 31,445.52 : x
  2. Step 2: Convert to fraction form
    75,879.89/113,764.43 = 31,445.52/x
  3. Step 3: Cross multiply
    75,879.89x = 113,764.43 × 31,445.52
  4. Step 4: Simplify right side
    75,879.89x = 3,577,381,310.85
  5. Step 5: Solve for x
    x = 3,577,381,310.85/75,879.89
  6. Step 6: Final answer
    x = 47,145.32

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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.