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Finding the Fourth Proportional to 200,778.85, 300,848.37 and 106,005.21

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Solution

The fourth proportional to 200,778.85, 300,848.37 and 106,005.21 is: 158,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.85 : 300,848.37 = 106,005.21 : x
  2. Step 2: Convert to fraction form
    200,778.85/300,848.37 = 106,005.21/x
  3. Step 3: Cross multiply
    200,778.85x = 300,848.37 × 106,005.21
  4. Step 4: Simplify right side
    200,778.85x = 31,891,494,640.01
  5. Step 5: Solve for x
    x = 31,891,494,640.01/200,778.85
  6. Step 6: Final answer
    x = 158,838.91

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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.