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Finding the Fourth Proportional to 149,300, 206,034 and 82,232

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Solution

The fourth proportional to 149,300, 206,034 and 82,232 is: 113,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300 : 206,034 = 82,232 : x
  2. Step 2: Convert to fraction form
    149,300/206,034 = 82,232/x
  3. Step 3: Cross multiply
    149,300x = 206,034 × 82,232
  4. Step 4: Simplify right side
    149,300x = 16,942,587,888
  5. Step 5: Solve for x
    x = 16,942,587,888/149,300
  6. Step 6: Final answer
    x = 113,480.16

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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.