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Finding the Fourth Proportional to 206,784.26, 308,775.67 and 164,186.36

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Solution

The fourth proportional to 206,784.26, 308,775.67 and 164,186.36 is: 245,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,784.26 : 308,775.67 = 164,186.36 : x
  2. Step 2: Convert to fraction form
    206,784.26/308,775.67 = 164,186.36/x
  3. Step 3: Cross multiply
    206,784.26x = 308,775.67 × 164,186.36
  4. Step 4: Simplify right side
    206,784.26x = 50,696,753,313.86
  5. Step 5: Solve for x
    x = 50,696,753,313.86/206,784.26
  6. Step 6: Final answer
    x = 245,167.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.