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Finding the Fourth Proportional to 138,651.87, 207,977.81 and 45,157.62

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Solution

The fourth proportional to 138,651.87, 207,977.81 and 45,157.62 is: 67,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,651.87 : 207,977.81 = 45,157.62 : x
  2. Step 2: Convert to fraction form
    138,651.87/207,977.81 = 45,157.62/x
  3. Step 3: Cross multiply
    138,651.87x = 207,977.81 × 45,157.62
  4. Step 4: Simplify right side
    138,651.87x = 9,391,782,550.68
  5. Step 5: Solve for x
    x = 9,391,782,550.68/138,651.87
  6. Step 6: Final answer
    x = 67,736.43

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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.