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Finding the Fourth Proportional to 149,794.08, 206,715.96 and 81,812

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Solution

The fourth proportional to 149,794.08, 206,715.96 and 81,812 is: 112,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,794.08 : 206,715.96 = 81,812 : x
  2. Step 2: Convert to fraction form
    149,794.08/206,715.96 = 81,812/x
  3. Step 3: Cross multiply
    149,794.08x = 206,715.96 × 81,812
  4. Step 4: Simplify right side
    149,794.08x = 16,911,846,119.52
  5. Step 5: Solve for x
    x = 16,911,846,119.52/149,794.08
  6. Step 6: Final answer
    x = 112,900.63

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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.