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Finding the Fourth Proportional to 206,410.66, 309,754.07 and 75,082.66

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Solution

The fourth proportional to 206,410.66, 309,754.07 and 75,082.66 is: 112,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,410.66 : 309,754.07 = 75,082.66 : x
  2. Step 2: Convert to fraction form
    206,410.66/309,754.07 = 75,082.66/x
  3. Step 3: Cross multiply
    206,410.66x = 309,754.07 × 75,082.66
  4. Step 4: Simplify right side
    206,410.66x = 23,257,159,521.43
  5. Step 5: Solve for x
    x = 23,257,159,521.43/206,410.66
  6. Step 6: Final answer
    x = 112,674.22

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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.