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Finding the Fourth Proportional to 206,085.81, 309,134.79 and 175,909.79

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Solution

The fourth proportional to 206,085.81, 309,134.79 and 175,909.79 is: 263,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,085.81 : 309,134.79 = 175,909.79 : x
  2. Step 2: Convert to fraction form
    206,085.81/309,134.79 = 175,909.79/x
  3. Step 3: Cross multiply
    206,085.81x = 309,134.79 × 175,909.79
  4. Step 4: Simplify right side
    206,085.81x = 54,379,836,763.43
  5. Step 5: Solve for x
    x = 54,379,836,763.43/206,085.81
  6. Step 6: Final answer
    x = 263,869.87

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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.