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Finding the Fourth Proportional to 205,293.39, 307,948.73 and 100,200.75

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Solution

The fourth proportional to 205,293.39, 307,948.73 and 100,200.75 is: 150,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,293.39 : 307,948.73 = 100,200.75 : x
  2. Step 2: Convert to fraction form
    205,293.39/307,948.73 = 100,200.75/x
  3. Step 3: Cross multiply
    205,293.39x = 307,948.73 × 100,200.75
  4. Step 4: Simplify right side
    205,293.39x = 30,856,693,206.54
  5. Step 5: Solve for x
    x = 30,856,693,206.54/205,293.39
  6. Step 6: Final answer
    x = 150,305.34

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1.5x scale

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.