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Finding the Fourth Proportional to 51,893.81, 71,618.90 and 31,764.09

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Solution

The fourth proportional to 51,893.81, 71,618.90 and 31,764.09 is: 43,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,893.81 : 71,618.90 = 31,764.09 : x
  2. Step 2: Convert to fraction form
    51,893.81/71,618.90 = 31,764.09/x
  3. Step 3: Cross multiply
    51,893.81x = 71,618.90 × 31,764.09
  4. Step 4: Simplify right side
    51,893.81x = 2,274,909,185.30
  5. Step 5: Solve for x
    x = 2,274,909,185.30/51,893.81
  6. Step 6: Final answer
    x = 43,837.78

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Why These Related Problems?

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