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Finding the Fourth Proportional to 149,147.96, 205,824.21 and 82,079.96

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Solution

The fourth proportional to 149,147.96, 205,824.21 and 82,079.96 is: 113,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,147.96 : 205,824.21 = 82,079.96 : x
  2. Step 2: Convert to fraction form
    149,147.96/205,824.21 = 82,079.96/x
  3. Step 3: Cross multiply
    149,147.96x = 205,824.21 × 82,079.96
  4. Step 4: Simplify right side
    149,147.96x = 16,894,042,923.83
  5. Step 5: Solve for x
    x = 16,894,042,923.83/149,147.96
  6. Step 6: Final answer
    x = 113,270.36

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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.