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Finding the Fourth Proportional to 149,401, 206,186.34 and 82,345.96

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Solution

The fourth proportional to 149,401, 206,186.34 and 82,345.96 is: 113,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,401 : 206,186.34 = 82,345.96 : x
  2. Step 2: Convert to fraction form
    149,401/206,186.34 = 82,345.96/x
  3. Step 3: Cross multiply
    149,401x = 206,186.34 × 82,345.96
  4. Step 4: Simplify right side
    149,401x = 16,978,612,106.19
  5. Step 5: Solve for x
    x = 16,978,612,106.19/149,401
  6. Step 6: Final answer
    x = 113,644.57

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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.