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Finding the Fourth Proportional to 53,501.48, 80,249.79 and 20,219

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Solution

The fourth proportional to 53,501.48, 80,249.79 and 20,219 is: 30,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,501.48 : 80,249.79 = 20,219 : x
  2. Step 2: Convert to fraction form
    53,501.48/80,249.79 = 20,219/x
  3. Step 3: Cross multiply
    53,501.48x = 80,249.79 × 20,219
  4. Step 4: Simplify right side
    53,501.48x = 1,622,570,504.01
  5. Step 5: Solve for x
    x = 1,622,570,504.01/53,501.48
  6. Step 6: Final answer
    x = 30,327.58

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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.