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Finding the Fourth Proportional to 36,945, 50,984.37 and 20,178

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Solution

The fourth proportional to 36,945, 50,984.37 and 20,178 is: 27,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,945 : 50,984.37 = 20,178 : x
  2. Step 2: Convert to fraction form
    36,945/50,984.37 = 20,178/x
  3. Step 3: Cross multiply
    36,945x = 50,984.37 × 20,178
  4. Step 4: Simplify right side
    36,945x = 1,028,762,617.86
  5. Step 5: Solve for x
    x = 1,028,762,617.86/36,945
  6. Step 6: Final answer
    x = 27,845.79

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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.