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Finding the Fourth Proportional to 71,760, 107,657.28 and 22,512

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Solution

The fourth proportional to 71,760, 107,657.28 and 22,512 is: 33,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760 : 107,657.28 = 22,512 : x
  2. Step 2: Convert to fraction form
    71,760/107,657.28 = 22,512/x
  3. Step 3: Cross multiply
    71,760x = 107,657.28 × 22,512
  4. Step 4: Simplify right side
    71,760x = 2,423,580,687.36
  5. Step 5: Solve for x
    x = 2,423,580,687.36/71,760
  6. Step 6: Final answer
    x = 33,773.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.