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Finding the Fourth Proportional to 50,571.87, 75,866 and 18,984.40

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Solution

The fourth proportional to 50,571.87, 75,866 and 18,984.40 is: 28,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,571.87 : 75,866 = 18,984.40 : x
  2. Step 2: Convert to fraction form
    50,571.87/75,866 = 18,984.40/x
  3. Step 3: Cross multiply
    50,571.87x = 75,866 × 18,984.40
  4. Step 4: Simplify right side
    50,571.87x = 1,440,270,490.40
  5. Step 5: Solve for x
    x = 1,440,270,490.40/50,571.87
  6. Step 6: Final answer
    x = 28,479.68

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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.