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Finding the Fourth Proportional to 203,853.69, 305,835.92 and 70,744.33

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Solution

The fourth proportional to 203,853.69, 305,835.92 and 70,744.33 is: 106,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,853.69 : 305,835.92 = 70,744.33 : x
  2. Step 2: Convert to fraction form
    203,853.69/305,835.92 = 70,744.33/x
  3. Step 3: Cross multiply
    203,853.69x = 305,835.92 × 70,744.33
  4. Step 4: Simplify right side
    203,853.69x = 21,636,157,250.33
  5. Step 5: Solve for x
    x = 21,636,157,250.33/203,853.69
  6. Step 6: Final answer
    x = 106,135.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.