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Finding the Fourth Proportional to 200,727.75, 301,208.27 and 89,919.75

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Solution

The fourth proportional to 200,727.75, 301,208.27 and 89,919.75 is: 134,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727.75 : 301,208.27 = 89,919.75 : x
  2. Step 2: Convert to fraction form
    200,727.75/301,208.27 = 89,919.75/x
  3. Step 3: Cross multiply
    200,727.75x = 301,208.27 × 89,919.75
  4. Step 4: Simplify right side
    200,727.75x = 27,084,572,336.33
  5. Step 5: Solve for x
    x = 27,084,572,336.33/200,727.75
  6. Step 6: Final answer
    x = 134,931.88

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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.