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Finding the Fourth Proportional to 206,405.55, 309,608.33 and 81,746.55

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Solution

The fourth proportional to 206,405.55, 309,608.33 and 81,746.55 is: 122,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,405.55 : 309,608.33 = 81,746.55 : x
  2. Step 2: Convert to fraction form
    206,405.55/309,608.33 = 81,746.55/x
  3. Step 3: Cross multiply
    206,405.55x = 309,608.33 × 81,746.55
  4. Step 4: Simplify right side
    206,405.55x = 25,309,412,420.03
  5. Step 5: Solve for x
    x = 25,309,412,420.03/206,405.55
  6. Step 6: Final answer
    x = 122,619.83

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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.