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Finding the Fourth Proportional to 206,166.78, 308,985.90 and 179,401.53

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Solution

The fourth proportional to 206,166.78, 308,985.90 and 179,401.53 is: 268,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.78 : 308,985.90 = 179,401.53 : x
  2. Step 2: Convert to fraction form
    206,166.78/308,985.90 = 179,401.53/x
  3. Step 3: Cross multiply
    206,166.78x = 308,985.90 × 179,401.53
  4. Step 4: Simplify right side
    206,166.78x = 55,432,543,208.43
  5. Step 5: Solve for x
    x = 55,432,543,208.43/206,166.78
  6. Step 6: Final answer
    x = 268,872.33

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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.