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Finding the Fourth Proportional to 36,910, 50,935.85 and 20,143

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Solution

The fourth proportional to 36,910, 50,935.85 and 20,143 is: 27,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,910 : 50,935.85 = 20,143 : x
  2. Step 2: Convert to fraction form
    36,910/50,935.85 = 20,143/x
  3. Step 3: Cross multiply
    36,910x = 50,935.85 × 20,143
  4. Step 4: Simplify right side
    36,910x = 1,026,000,826.55
  5. Step 5: Solve for x
    x = 1,026,000,826.55/36,910
  6. Step 6: Final answer
    x = 27,797.37

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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.