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Finding the Fourth Proportional to 53,463.81, 80,213.82 and 20,193.48

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Solution

The fourth proportional to 53,463.81, 80,213.82 and 20,193.48 is: 30,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,463.81 : 80,213.82 = 20,193.48 : x
  2. Step 2: Convert to fraction form
    53,463.81/80,213.82 = 20,193.48/x
  3. Step 3: Cross multiply
    53,463.81x = 80,213.82 × 20,193.48
  4. Step 4: Simplify right side
    53,463.81x = 1,619,796,169.89
  5. Step 5: Solve for x
    x = 1,619,796,169.89/53,463.81
  6. Step 6: Final answer
    x = 30,297.06

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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.