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Finding the Fourth Proportional to 149,426.87, 206,199.74 and 82,358.87

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Solution

The fourth proportional to 149,426.87, 206,199.74 and 82,358.87 is: 113,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,426.87 : 206,199.74 = 82,358.87 : x
  2. Step 2: Convert to fraction form
    149,426.87/206,199.74 = 82,358.87/x
  3. Step 3: Cross multiply
    149,426.87x = 206,199.74 × 82,358.87
  4. Step 4: Simplify right side
    149,426.87x = 16,982,376,755.59
  5. Step 5: Solve for x
    x = 16,982,376,755.59/149,426.87
  6. Step 6: Final answer
    x = 113,650.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.