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Finding the Fourth Proportional to 202,112.80, 303,169.20 and 108,800.80

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Solution

The fourth proportional to 202,112.80, 303,169.20 and 108,800.80 is: 163,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,112.80 : 303,169.20 = 108,800.80 : x
  2. Step 2: Convert to fraction form
    202,112.80/303,169.20 = 108,800.80/x
  3. Step 3: Cross multiply
    202,112.80x = 303,169.20 × 108,800.80
  4. Step 4: Simplify right side
    202,112.80x = 32,985,051,495.36
  5. Step 5: Solve for x
    x = 32,985,051,495.36/202,112.80
  6. Step 6: Final answer
    x = 163,201.20

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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.