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Finding the Fourth Proportional to 206,378.84, 309,568.32 and 136,241.75

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Solution

The fourth proportional to 206,378.84, 309,568.32 and 136,241.75 is: 204,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,378.84 : 309,568.32 = 136,241.75 : x
  2. Step 2: Convert to fraction form
    206,378.84/309,568.32 = 136,241.75/x
  3. Step 3: Cross multiply
    206,378.84x = 309,568.32 × 136,241.75
  4. Step 4: Simplify right side
    206,378.84x = 42,176,129,661.36
  5. Step 5: Solve for x
    x = 42,176,129,661.36/206,378.84
  6. Step 6: Final answer
    x = 204,362.66

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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.