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Finding the Fourth Proportional to 31,597.96, 43,601.34 and 20,108.92

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Solution

The fourth proportional to 31,597.96, 43,601.34 and 20,108.92 is: 27,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,597.96 : 43,601.34 = 20,108.92 : x
  2. Step 2: Convert to fraction form
    31,597.96/43,601.34 = 20,108.92/x
  3. Step 3: Cross multiply
    31,597.96x = 43,601.34 × 20,108.92
  4. Step 4: Simplify right side
    31,597.96x = 876,775,857.95
  5. Step 5: Solve for x
    x = 876,775,857.95/31,597.96
  6. Step 6: Final answer
    x = 27,747.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.