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Finding the Fourth Proportional to 50,978.82, 76,468.20 and 15,921.48

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Solution

The fourth proportional to 50,978.82, 76,468.20 and 15,921.48 is: 23,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.82 : 76,468.20 = 15,921.48 : x
  2. Step 2: Convert to fraction form
    50,978.82/76,468.20 = 15,921.48/x
  3. Step 3: Cross multiply
    50,978.82x = 76,468.20 × 15,921.48
  4. Step 4: Simplify right side
    50,978.82x = 1,217,486,916.94
  5. Step 5: Solve for x
    x = 1,217,486,916.94/50,978.82
  6. Step 6: Final answer
    x = 23,882.21

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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.