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Finding the Fourth Proportional to 206,786.26, 308,778.65 and 164,188.36

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Solution

The fourth proportional to 206,786.26, 308,778.65 and 164,188.36 is: 245,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,786.26 : 308,778.65 = 164,188.36 : x
  2. Step 2: Convert to fraction form
    206,786.26/308,778.65 = 164,188.36/x
  3. Step 3: Cross multiply
    206,786.26x = 308,778.65 × 164,188.36
  4. Step 4: Simplify right side
    206,786.26x = 50,697,860,146.51
  5. Step 5: Solve for x
    x = 50,697,860,146.51/206,786.26
  6. Step 6: Final answer
    x = 245,170.35

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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.