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Finding the Fourth Proportional to 208,466.90, 312,767.31 and 68,193.62

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Solution

The fourth proportional to 208,466.90, 312,767.31 and 68,193.62 is: 102,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,466.90 : 312,767.31 = 68,193.62 : x
  2. Step 2: Convert to fraction form
    208,466.90/312,767.31 = 68,193.62/x
  3. Step 3: Cross multiply
    208,466.90x = 312,767.31 × 68,193.62
  4. Step 4: Simplify right side
    208,466.90x = 21,328,735,086.56
  5. Step 5: Solve for x
    x = 21,328,735,086.56/208,466.90
  6. Step 6: Final answer
    x = 102,312.33

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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.