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Finding the Fourth Proportional to 189,651.87, 261,724.71 and 113,215.32

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Solution

The fourth proportional to 189,651.87, 261,724.71 and 113,215.32 is: 156,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,651.87 : 261,724.71 = 113,215.32 : x
  2. Step 2: Convert to fraction form
    189,651.87/261,724.71 = 113,215.32/x
  3. Step 3: Cross multiply
    189,651.87x = 261,724.71 × 113,215.32
  4. Step 4: Simplify right side
    189,651.87x = 29,631,246,794.56
  5. Step 5: Solve for x
    x = 29,631,246,794.56/189,651.87
  6. Step 6: Final answer
    x = 156,240.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.