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Finding the Fourth Proportional to 61,331.59, 91,947.12 and 31,757.86

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Solution

The fourth proportional to 61,331.59, 91,947.12 and 31,757.86 is: 47,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,331.59 : 91,947.12 = 31,757.86 : x
  2. Step 2: Convert to fraction form
    61,331.59/91,947.12 = 31,757.86/x
  3. Step 3: Cross multiply
    61,331.59x = 91,947.12 × 31,757.86
  4. Step 4: Simplify right side
    61,331.59x = 2,920,043,764.36
  5. Step 5: Solve for x
    x = 2,920,043,764.36/61,331.59
  6. Step 6: Final answer
    x = 47,610.76

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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.