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Finding the Fourth Proportional to 204,893.20, 307,589.40 and 130,013.20

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Solution

The fourth proportional to 204,893.20, 307,589.40 and 130,013.20 is: 195,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,893.20 : 307,589.40 = 130,013.20 : x
  2. Step 2: Convert to fraction form
    204,893.20/307,589.40 = 130,013.20/x
  3. Step 3: Cross multiply
    204,893.20x = 307,589.40 × 130,013.20
  4. Step 4: Simplify right side
    204,893.20x = 39,990,682,180.08
  5. Step 5: Solve for x
    x = 39,990,682,180.08/204,893.20
  6. Step 6: Final answer
    x = 195,178.18

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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.