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Finding the Fourth Proportional to 202,112.80, 303,169.20 and 61,853.20

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Solution

The fourth proportional to 202,112.80, 303,169.20 and 61,853.20 is: 92,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,112.80 : 303,169.20 = 61,853.20 : x
  2. Step 2: Convert to fraction form
    202,112.80/303,169.20 = 61,853.20/x
  3. Step 3: Cross multiply
    202,112.80x = 303,169.20 × 61,853.20
  4. Step 4: Simplify right side
    202,112.80x = 18,751,985,161.44
  5. Step 5: Solve for x
    x = 18,751,985,161.44/202,112.80
  6. Step 6: Final answer
    x = 92,779.80

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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.