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Finding the Fourth Proportional to 202,299.20, 303,319.20 and 84,017.60

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Solution

The fourth proportional to 202,299.20, 303,319.20 and 84,017.60 is: 125,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,299.20 : 303,319.20 = 84,017.60 : x
  2. Step 2: Convert to fraction form
    202,299.20/303,319.20 = 84,017.60/x
  3. Step 3: Cross multiply
    202,299.20x = 303,319.20 × 84,017.60
  4. Step 4: Simplify right side
    202,299.20x = 25,484,151,217.92
  5. Step 5: Solve for x
    x = 25,484,151,217.92/202,299.20
  6. Step 6: Final answer
    x = 125,972.58

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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.