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Finding the Fourth Proportional to 35,741.80, 53,651.10 and 20,189.80

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Solution

The fourth proportional to 35,741.80, 53,651.10 and 20,189.80 is: 30,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741.80 : 53,651.10 = 20,189.80 : x
  2. Step 2: Convert to fraction form
    35,741.80/53,651.10 = 20,189.80/x
  3. Step 3: Cross multiply
    35,741.80x = 53,651.10 × 20,189.80
  4. Step 4: Simplify right side
    35,741.80x = 1,083,204,978.78
  5. Step 5: Solve for x
    x = 1,083,204,978.78/35,741.80
  6. Step 6: Final answer
    x = 30,306.39

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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.