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Finding the Fourth Proportional to 139,861.82, 209,792.51 and 34,680.80

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Solution

The fourth proportional to 139,861.82, 209,792.51 and 34,680.80 is: 52,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,861.82 : 209,792.51 = 34,680.80 : x
  2. Step 2: Convert to fraction form
    139,861.82/209,792.51 = 34,680.80/x
  3. Step 3: Cross multiply
    139,861.82x = 209,792.51 × 34,680.80
  4. Step 4: Simplify right side
    139,861.82x = 7,275,770,858.44
  5. Step 5: Solve for x
    x = 7,275,770,858.44/139,861.82
  6. Step 6: Final answer
    x = 52,021.14

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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.