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Finding the Fourth Proportional to 202,129.90, 303,231.30 and 83,813.20

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Solution

The fourth proportional to 202,129.90, 303,231.30 and 83,813.20 is: 125,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,129.90 : 303,231.30 = 83,813.20 : x
  2. Step 2: Convert to fraction form
    202,129.90/303,231.30 = 83,813.20/x
  3. Step 3: Cross multiply
    202,129.90x = 303,231.30 × 83,813.20
  4. Step 4: Simplify right side
    202,129.90x = 25,414,785,593.16
  5. Step 5: Solve for x
    x = 25,414,785,593.16/202,129.90
  6. Step 6: Final answer
    x = 125,734.91

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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.