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Finding the Fourth Proportional to 207,856.90, 311,842.95 and 137,872.90

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Solution

The fourth proportional to 207,856.90, 311,842.95 and 137,872.90 is: 206,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,856.90 : 311,842.95 = 137,872.90 : x
  2. Step 2: Convert to fraction form
    207,856.90/311,842.95 = 137,872.90/x
  3. Step 3: Cross multiply
    207,856.90x = 311,842.95 × 137,872.90
  4. Step 4: Simplify right side
    207,856.90x = 42,994,691,861.06
  5. Step 5: Solve for x
    x = 42,994,691,861.06/207,856.90
  6. Step 6: Final answer
    x = 206,847.56

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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.