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Finding the Fourth Proportional to 149,311.69, 206,050.14 and 82,243.69

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Solution

The fourth proportional to 149,311.69, 206,050.14 and 82,243.69 is: 113,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,311.69 : 206,050.14 = 82,243.69 : x
  2. Step 2: Convert to fraction form
    149,311.69/206,050.14 = 82,243.69/x
  3. Step 3: Cross multiply
    149,311.69x = 206,050.14 × 82,243.69
  4. Step 4: Simplify right side
    149,311.69x = 16,946,323,323.49
  5. Step 5: Solve for x
    x = 16,946,323,323.49/149,311.69
  6. Step 6: Final answer
    x = 113,496.29

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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.