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Finding the Fourth Proportional to 201,408.70, 302,113.05 and 122,676.70

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Solution

The fourth proportional to 201,408.70, 302,113.05 and 122,676.70 is: 184,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.70 : 302,113.05 = 122,676.70 : x
  2. Step 2: Convert to fraction form
    201,408.70/302,113.05 = 122,676.70/x
  3. Step 3: Cross multiply
    201,408.70x = 302,113.05 × 122,676.70
  4. Step 4: Simplify right side
    201,408.70x = 37,062,232,000.94
  5. Step 5: Solve for x
    x = 37,062,232,000.94/201,408.70
  6. Step 6: Final answer
    x = 184,015.05

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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.