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Finding the Fourth Proportional to 202,408.10, 303,612.15 and 71,080.10

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Solution

The fourth proportional to 202,408.10, 303,612.15 and 71,080.10 is: 106,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,408.10 : 303,612.15 = 71,080.10 : x
  2. Step 2: Convert to fraction form
    202,408.10/303,612.15 = 71,080.10/x
  3. Step 3: Cross multiply
    202,408.10x = 303,612.15 × 71,080.10
  4. Step 4: Simplify right side
    202,408.10x = 21,580,781,983.22
  5. Step 5: Solve for x
    x = 21,580,781,983.22/202,408.10
  6. Step 6: Final answer
    x = 106,620.15

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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.