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Finding the Fourth Proportional to 200,638.32, 300,745.25 and 74,197.32

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Solution

The fourth proportional to 200,638.32, 300,745.25 and 74,197.32 is: 111,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,638.32 : 300,745.25 = 74,197.32 : x
  2. Step 2: Convert to fraction form
    200,638.32/300,745.25 = 74,197.32/x
  3. Step 3: Cross multiply
    200,638.32x = 300,745.25 × 74,197.32
  4. Step 4: Simplify right side
    200,638.32x = 22,314,490,749.55
  5. Step 5: Solve for x
    x = 22,314,490,749.55/200,638.32
  6. Step 6: Final answer
    x = 111,217.49

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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.