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Finding the Fourth Proportional to 206,343.84, 284,805.10 and 125,815.72

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Solution

The fourth proportional to 206,343.84, 284,805.10 and 125,815.72 is: 173,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,343.84 : 284,805.10 = 125,815.72 : x
  2. Step 2: Convert to fraction form
    206,343.84/284,805.10 = 125,815.72/x
  3. Step 3: Cross multiply
    206,343.84x = 284,805.10 × 125,815.72
  4. Step 4: Simplify right side
    206,343.84x = 35,832,958,716.17
  5. Step 5: Solve for x
    x = 35,832,958,716.17/206,343.84
  6. Step 6: Final answer
    x = 173,656.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.