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Finding the Fourth Proportional to 206,050.80, 308,730.60 and 100,642.80

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Solution

The fourth proportional to 206,050.80, 308,730.60 and 100,642.80 is: 150,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,050.80 : 308,730.60 = 100,642.80 : x
  2. Step 2: Convert to fraction form
    206,050.80/308,730.60 = 100,642.80/x
  3. Step 3: Cross multiply
    206,050.80x = 308,730.60 × 100,642.80
  4. Step 4: Simplify right side
    206,050.80x = 31,071,512,029.68
  5. Step 5: Solve for x
    x = 31,071,512,029.68/206,050.80
  6. Step 6: Final answer
    x = 150,795.40

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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.