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Finding the Fourth Proportional to 206,078.37, 309,028.44 and 71,156.67

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Solution

The fourth proportional to 206,078.37, 309,028.44 and 71,156.67 is: 106,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,078.37 : 309,028.44 = 71,156.67 : x
  2. Step 2: Convert to fraction form
    206,078.37/309,028.44 = 71,156.67/x
  3. Step 3: Cross multiply
    206,078.37x = 309,028.44 × 71,156.67
  4. Step 4: Simplify right side
    206,078.37x = 21,989,434,725.69
  5. Step 5: Solve for x
    x = 21,989,434,725.69/206,078.37
  6. Step 6: Final answer
    x = 106,704.23

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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.