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Finding the Fourth Proportional to 206,050.40, 309,367.20 and 161,727.20

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Solution

The fourth proportional to 206,050.40, 309,367.20 and 161,727.20 is: 242,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,050.40 : 309,367.20 = 161,727.20 : x
  2. Step 2: Convert to fraction form
    206,050.40/309,367.20 = 161,727.20/x
  3. Step 3: Cross multiply
    206,050.40x = 309,367.20 × 161,727.20
  4. Step 4: Simplify right side
    206,050.40x = 50,033,091,027.84
  5. Step 5: Solve for x
    x = 50,033,091,027.84/206,050.40
  6. Step 6: Final answer
    x = 242,819.67

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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.