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Finding the Fourth Proportional to 149,797.11, 206,715.33 and 81,813

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Solution

The fourth proportional to 149,797.11, 206,715.33 and 81,813 is: 112,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,797.11 : 206,715.33 = 81,813 : x
  2. Step 2: Convert to fraction form
    149,797.11/206,715.33 = 81,813/x
  3. Step 3: Cross multiply
    149,797.11x = 206,715.33 × 81,813
  4. Step 4: Simplify right side
    149,797.11x = 16,912,001,293.29
  5. Step 5: Solve for x
    x = 16,912,001,293.29/149,797.11
  6. Step 6: Final answer
    x = 112,899.38

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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.