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Finding the Fourth Proportional to 201,408.26, 302,137 and 68,326.60

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Solution

The fourth proportional to 201,408.26, 302,137 and 68,326.60 is: 102,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.26 : 302,137 = 68,326.60 : x
  2. Step 2: Convert to fraction form
    201,408.26/302,137 = 68,326.60/x
  3. Step 3: Cross multiply
    201,408.26x = 302,137 × 68,326.60
  4. Step 4: Simplify right side
    201,408.26x = 20,643,993,944.20
  5. Step 5: Solve for x
    x = 20,643,993,944.20/201,408.26
  6. Step 6: Final answer
    x = 102,498.25

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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.