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Finding the Fourth Proportional to 50,578.72, 75,887.70 and 20,989

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Solution

The fourth proportional to 50,578.72, 75,887.70 and 20,989 is: 31,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,578.72 : 75,887.70 = 20,989 : x
  2. Step 2: Convert to fraction form
    50,578.72/75,887.70 = 20,989/x
  3. Step 3: Cross multiply
    50,578.72x = 75,887.70 × 20,989
  4. Step 4: Simplify right side
    50,578.72x = 1,592,806,935.30
  5. Step 5: Solve for x
    x = 1,592,806,935.30/50,578.72
  6. Step 6: Final answer
    x = 31,491.64

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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.