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Finding the Fourth Proportional to 200,789.09, 300,984.00 and 100,643.63

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Solution

The fourth proportional to 200,789.09, 300,984.00 and 100,643.63 is: 150,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,789.09 : 300,984.00 = 100,643.63 : x
  2. Step 2: Convert to fraction form
    200,789.09/300,984.00 = 100,643.63/x
  3. Step 3: Cross multiply
    200,789.09x = 300,984.00 × 100,643.63
  4. Step 4: Simplify right side
    200,789.09x = 30,292,121,015.71
  5. Step 5: Solve for x
    x = 30,292,121,015.71/200,789.09
  6. Step 6: Final answer
    x = 150,865.37

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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.