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Finding the Fourth Proportional to 206,788.47, 308,781.91 and 164,190.57

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Solution

The fourth proportional to 206,788.47, 308,781.91 and 164,190.57 is: 245,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,788.47 : 308,781.91 = 164,190.57 : x
  2. Step 2: Convert to fraction form
    206,788.47/308,781.91 = 164,190.57/x
  3. Step 3: Cross multiply
    206,788.47x = 308,781.91 × 164,190.57
  4. Step 4: Simplify right side
    206,788.47x = 50,699,077,808.59
  5. Step 5: Solve for x
    x = 50,699,077,808.59/206,788.47
  6. Step 6: Final answer
    x = 245,173.62

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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.