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Finding the Fourth Proportional to 200,771.73, 300,978.99 and 76,200.21

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Solution

The fourth proportional to 200,771.73, 300,978.99 and 76,200.21 is: 114,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,771.73 : 300,978.99 = 76,200.21 : x
  2. Step 2: Convert to fraction form
    200,771.73/300,978.99 = 76,200.21/x
  3. Step 3: Cross multiply
    200,771.73x = 300,978.99 × 76,200.21
  4. Step 4: Simplify right side
    200,771.73x = 22,934,662,243.59
  5. Step 5: Solve for x
    x = 22,934,662,243.59/200,771.73
  6. Step 6: Final answer
    x = 114,232.53

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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.