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Finding the Fourth Proportional to 206,571.20, 309,914.40 and 88,299.20

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Solution

The fourth proportional to 206,571.20, 309,914.40 and 88,299.20 is: 132,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,571.20 : 309,914.40 = 88,299.20 : x
  2. Step 2: Convert to fraction form
    206,571.20/309,914.40 = 88,299.20/x
  3. Step 3: Cross multiply
    206,571.20x = 309,914.40 × 88,299.20
  4. Step 4: Simplify right side
    206,571.20x = 27,365,193,588.48
  5. Step 5: Solve for x
    x = 27,365,193,588.48/206,571.20
  6. Step 6: Final answer
    x = 132,473.42

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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.