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Finding the Fourth Proportional to 149,696.56, 206,576.04 and 89,236

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Solution

The fourth proportional to 149,696.56, 206,576.04 and 89,236 is: 123,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,696.56 : 206,576.04 = 89,236 : x
  2. Step 2: Convert to fraction form
    149,696.56/206,576.04 = 89,236/x
  3. Step 3: Cross multiply
    149,696.56x = 206,576.04 × 89,236
  4. Step 4: Simplify right side
    149,696.56x = 18,434,019,505.44
  5. Step 5: Solve for x
    x = 18,434,019,505.44/149,696.56
  6. Step 6: Final answer
    x = 123,142.57

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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.