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Finding the Fourth Proportional to 202,138.30, 303,098.10 and 83,821.60

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Solution

The fourth proportional to 202,138.30, 303,098.10 and 83,821.60 is: 125,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,138.30 : 303,098.10 = 83,821.60 : x
  2. Step 2: Convert to fraction form
    202,138.30/303,098.10 = 83,821.60/x
  3. Step 3: Cross multiply
    202,138.30x = 303,098.10 × 83,821.60
  4. Step 4: Simplify right side
    202,138.30x = 25,406,167,698.96
  5. Step 5: Solve for x
    x = 25,406,167,698.96/202,138.30
  6. Step 6: Final answer
    x = 125,687.06

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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.