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Finding the Fourth Proportional to 50,579.72, 75,889.20 and 20,990

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Solution

The fourth proportional to 50,579.72, 75,889.20 and 20,990 is: 31,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,579.72 : 75,889.20 = 20,990 : x
  2. Step 2: Convert to fraction form
    50,579.72/75,889.20 = 20,990/x
  3. Step 3: Cross multiply
    50,579.72x = 75,889.20 × 20,990
  4. Step 4: Simplify right side
    50,579.72x = 1,592,914,308
  5. Step 5: Solve for x
    x = 1,592,914,308/50,579.72
  6. Step 6: Final answer
    x = 31,493.14

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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.