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Finding the Fourth Proportional to 206,379, 284,715.36 and 125,795.28

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Solution

The fourth proportional to 206,379, 284,715.36 and 125,795.28 is: 173,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,379 : 284,715.36 = 125,795.28 : x
  2. Step 2: Convert to fraction form
    206,379/284,715.36 = 125,795.28/x
  3. Step 3: Cross multiply
    206,379x = 284,715.36 × 125,795.28
  4. Step 4: Simplify right side
    206,379x = 35,815,848,431.50
  5. Step 5: Solve for x
    x = 35,815,848,431.50/206,379
  6. Step 6: Final answer
    x = 173,544.05

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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.