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Finding the Fourth Proportional to 36,781, 50,758.59 and 20,014

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Solution

The fourth proportional to 36,781, 50,758.59 and 20,014 is: 27,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,781 : 50,758.59 = 20,014 : x
  2. Step 2: Convert to fraction form
    36,781/50,758.59 = 20,014/x
  3. Step 3: Cross multiply
    36,781x = 50,758.59 × 20,014
  4. Step 4: Simplify right side
    36,781x = 1,015,882,420.26
  5. Step 5: Solve for x
    x = 1,015,882,420.26/36,781
  6. Step 6: Final answer
    x = 27,619.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.