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Finding the Fourth Proportional to 43,634.77, 65,353.74 and 20,212

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Solution

The fourth proportional to 43,634.77, 65,353.74 and 20,212 is: 30,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,634.77 : 65,353.74 = 20,212 : x
  2. Step 2: Convert to fraction form
    43,634.77/65,353.74 = 20,212/x
  3. Step 3: Cross multiply
    43,634.77x = 65,353.74 × 20,212
  4. Step 4: Simplify right side
    43,634.77x = 1,320,929,792.88
  5. Step 5: Solve for x
    x = 1,320,929,792.88/43,634.77
  6. Step 6: Final answer
    x = 30,272.41

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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.