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Finding the Fourth Proportional to 202,309.90, 303,464.85 and 131,451.10

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Solution

The fourth proportional to 202,309.90, 303,464.85 and 131,451.10 is: 197,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309.90 : 303,464.85 = 131,451.10 : x
  2. Step 2: Convert to fraction form
    202,309.90/303,464.85 = 131,451.10/x
  3. Step 3: Cross multiply
    202,309.90x = 303,464.85 × 131,451.10
  4. Step 4: Simplify right side
    202,309.90x = 39,890,788,343.84
  5. Step 5: Solve for x
    x = 39,890,788,343.84/202,309.90
  6. Step 6: Final answer
    x = 197,176.65

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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.