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Finding the Fourth Proportional to 202,343.10, 303,709.05 and 102,615.90

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Solution

The fourth proportional to 202,343.10, 303,709.05 and 102,615.90 is: 154,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,343.10 : 303,709.05 = 102,615.90 : x
  2. Step 2: Convert to fraction form
    202,343.10/303,709.05 = 102,615.90/x
  3. Step 3: Cross multiply
    202,343.10x = 303,709.05 × 102,615.90
  4. Step 4: Simplify right side
    202,343.10x = 31,165,377,503.90
  5. Step 5: Solve for x
    x = 31,165,377,503.90/202,343.10
  6. Step 6: Final answer
    x = 154,022.44

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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.