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Finding the Fourth Proportional to 71,608.84, 107,405 and 19,022.56

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Solution

The fourth proportional to 71,608.84, 107,405 and 19,022.56 is: 28,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,608.84 : 107,405 = 19,022.56 : x
  2. Step 2: Convert to fraction form
    71,608.84/107,405 = 19,022.56/x
  3. Step 3: Cross multiply
    71,608.84x = 107,405 × 19,022.56
  4. Step 4: Simplify right side
    71,608.84x = 2,043,118,056.80
  5. Step 5: Solve for x
    x = 2,043,118,056.80/71,608.84
  6. Step 6: Final answer
    x = 28,531.65

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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.