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Finding the Fourth Proportional to 206,015.72, 309,071.79 and 63,853.56

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Solution

The fourth proportional to 206,015.72, 309,071.79 and 63,853.56 is: 95,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,015.72 : 309,071.79 = 63,853.56 : x
  2. Step 2: Convert to fraction form
    206,015.72/309,071.79 = 63,853.56/x
  3. Step 3: Cross multiply
    206,015.72x = 309,071.79 × 63,853.56
  4. Step 4: Simplify right side
    206,015.72x = 19,735,334,087.07
  5. Step 5: Solve for x
    x = 19,735,334,087.07/206,015.72
  6. Step 6: Final answer
    x = 95,795.28

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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.