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Finding the Fourth Proportional to 202,198.40, 303,297.60 and 139,212.80

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Solution

The fourth proportional to 202,198.40, 303,297.60 and 139,212.80 is: 208,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198.40 : 303,297.60 = 139,212.80 : x
  2. Step 2: Convert to fraction form
    202,198.40/303,297.60 = 139,212.80/x
  3. Step 3: Cross multiply
    202,198.40x = 303,297.60 × 139,212.80
  4. Step 4: Simplify right side
    202,198.40x = 42,222,908,129.28
  5. Step 5: Solve for x
    x = 42,222,908,129.28/202,198.40
  6. Step 6: Final answer
    x = 208,819.20

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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.