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Finding the Fourth Proportional to 149,807.44, 206,731.40 and 82,738

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Solution

The fourth proportional to 149,807.44, 206,731.40 and 82,738 is: 114,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,807.44 : 206,731.40 = 82,738 : x
  2. Step 2: Convert to fraction form
    149,807.44/206,731.40 = 82,738/x
  3. Step 3: Cross multiply
    149,807.44x = 206,731.40 × 82,738
  4. Step 4: Simplify right side
    149,807.44x = 17,104,542,573.20
  5. Step 5: Solve for x
    x = 17,104,542,573.20/149,807.44
  6. Step 6: Final answer
    x = 114,176.86

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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.