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Finding the Fourth Proportional to 53,403.50, 80,110.74 and 20,151.56

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Solution

The fourth proportional to 53,403.50, 80,110.74 and 20,151.56 is: 30,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,403.50 : 80,110.74 = 20,151.56 : x
  2. Step 2: Convert to fraction form
    53,403.50/80,110.74 = 20,151.56/x
  3. Step 3: Cross multiply
    53,403.50x = 80,110.74 × 20,151.56
  4. Step 4: Simplify right side
    53,403.50x = 1,614,356,383.75
  5. Step 5: Solve for x
    x = 1,614,356,383.75/53,403.50
  6. Step 6: Final answer
    x = 30,229.41

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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.