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Finding the Fourth Proportional to 71,961.68, 107,979.24 and 48,539

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Solution

The fourth proportional to 71,961.68, 107,979.24 and 48,539 is: 72,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,961.68 : 107,979.24 = 48,539 : x
  2. Step 2: Convert to fraction form
    71,961.68/107,979.24 = 48,539/x
  3. Step 3: Cross multiply
    71,961.68x = 107,979.24 × 48,539
  4. Step 4: Simplify right side
    71,961.68x = 5,241,204,330.36
  5. Step 5: Solve for x
    x = 5,241,204,330.36/71,961.68
  6. Step 6: Final answer
    x = 72,833.27

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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.