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Finding the Fourth Proportional to 206,223.68, 309,372.24 and 106,356.90

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Solution

The fourth proportional to 206,223.68, 309,372.24 and 106,356.90 is: 159,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,223.68 : 309,372.24 = 106,356.90 : x
  2. Step 2: Convert to fraction form
    206,223.68/309,372.24 = 106,356.90/x
  3. Step 3: Cross multiply
    206,223.68x = 309,372.24 × 106,356.90
  4. Step 4: Simplify right side
    206,223.68x = 32,903,872,392.46
  5. Step 5: Solve for x
    x = 32,903,872,392.46/206,223.68
  6. Step 6: Final answer
    x = 159,554.29

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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.