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Finding the Fourth Proportional to 206,525.20, 309,010.20 and 136,541.20

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Solution

The fourth proportional to 206,525.20, 309,010.20 and 136,541.20 is: 204,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,525.20 : 309,010.20 = 136,541.20 : x
  2. Step 2: Convert to fraction form
    206,525.20/309,010.20 = 136,541.20/x
  3. Step 3: Cross multiply
    206,525.20x = 309,010.20 × 136,541.20
  4. Step 4: Simplify right side
    206,525.20x = 42,192,623,520.24
  5. Step 5: Solve for x
    x = 42,192,623,520.24/206,525.20
  6. Step 6: Final answer
    x = 204,297.70

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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.