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Finding the Fourth Proportional to 71,761.16, 107,647.20 and 21,845.52

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Solution

The fourth proportional to 71,761.16, 107,647.20 and 21,845.52 is: 32,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,761.16 : 107,647.20 = 21,845.52 : x
  2. Step 2: Convert to fraction form
    71,761.16/107,647.20 = 21,845.52/x
  3. Step 3: Cross multiply
    71,761.16x = 107,647.20 × 21,845.52
  4. Step 4: Simplify right side
    71,761.16x = 2,351,609,060.54
  5. Step 5: Solve for x
    x = 2,351,609,060.54/71,761.16
  6. Step 6: Final answer
    x = 32,769.94

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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.