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Finding the Fourth Proportional to 149,352, 206,105.76 and 82,285.44

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Solution

The fourth proportional to 149,352, 206,105.76 and 82,285.44 is: 113,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,352 : 206,105.76 = 82,285.44 : x
  2. Step 2: Convert to fraction form
    149,352/206,105.76 = 82,285.44/x
  3. Step 3: Cross multiply
    149,352x = 206,105.76 × 82,285.44
  4. Step 4: Simplify right side
    149,352x = 16,959,503,148.13
  5. Step 5: Solve for x
    x = 16,959,503,148.13/149,352
  6. Step 6: Final answer
    x = 113,553.91

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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.