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Finding the Fourth Proportional to 206,556.51, 309,585.65 and 106,662.25

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Solution

The fourth proportional to 206,556.51, 309,585.65 and 106,662.25 is: 159,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,556.51 : 309,585.65 = 106,662.25 : x
  2. Step 2: Convert to fraction form
    206,556.51/309,585.65 = 106,662.25/x
  3. Step 3: Cross multiply
    206,556.51x = 309,585.65 × 106,662.25
  4. Step 4: Simplify right side
    206,556.51x = 33,021,101,850.38
  5. Step 5: Solve for x
    x = 33,021,101,850.38/206,556.51
  6. Step 6: Final answer
    x = 159,864.73

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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.