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Finding the Fourth Proportional to 36,723.50, 50,682.75 and 21,819.50

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Solution

The fourth proportional to 36,723.50, 50,682.75 and 21,819.50 is: 30,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,723.50 : 50,682.75 = 21,819.50 : x
  2. Step 2: Convert to fraction form
    36,723.50/50,682.75 = 21,819.50/x
  3. Step 3: Cross multiply
    36,723.50x = 50,682.75 × 21,819.50
  4. Step 4: Simplify right side
    36,723.50x = 1,105,872,263.63
  5. Step 5: Solve for x
    x = 1,105,872,263.63/36,723.50
  6. Step 6: Final answer
    x = 30,113.48

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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.