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Finding the Fourth Proportional to 206,429.30, 309,644.41 and 56,671.64

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Solution

The fourth proportional to 206,429.30, 309,644.41 and 56,671.64 is: 85,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429.30 : 309,644.41 = 56,671.64 : x
  2. Step 2: Convert to fraction form
    206,429.30/309,644.41 = 56,671.64/x
  3. Step 3: Cross multiply
    206,429.30x = 309,644.41 × 56,671.64
  4. Step 4: Simplify right side
    206,429.30x = 17,548,054,983.31
  5. Step 5: Solve for x
    x = 17,548,054,983.31/206,429.30
  6. Step 6: Final answer
    x = 85,007.58

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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.