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Finding the Fourth Proportional to 149,679, 206,557.29 and 82,611

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Solution

The fourth proportional to 149,679, 206,557.29 and 82,611 is: 114,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,679 : 206,557.29 = 82,611 : x
  2. Step 2: Convert to fraction form
    149,679/206,557.29 = 82,611/x
  3. Step 3: Cross multiply
    149,679x = 206,557.29 × 82,611
  4. Step 4: Simplify right side
    149,679x = 17,063,904,284.19
  5. Step 5: Solve for x
    x = 17,063,904,284.19/149,679
  6. Step 6: Final answer
    x = 114,003.33

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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.