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Finding the Fourth Proportional to 200,439.57, 276,629.90 and 115,559.67

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Solution

The fourth proportional to 200,439.57, 276,629.90 and 115,559.67 is: 159,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,439.57 : 276,629.90 = 115,559.67 : x
  2. Step 2: Convert to fraction form
    200,439.57/276,629.90 = 115,559.67/x
  3. Step 3: Cross multiply
    200,439.57x = 276,629.90 × 115,559.67
  4. Step 4: Simplify right side
    200,439.57x = 31,967,259,378.33
  5. Step 5: Solve for x
    x = 31,967,259,378.33/200,439.57
  6. Step 6: Final answer
    x = 159,485.77

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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.