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Finding the Fourth Proportional to 201,311.60, 302,003.85 and 101,219.90

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Solution

The fourth proportional to 201,311.60, 302,003.85 and 101,219.90 is: 151,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,311.60 : 302,003.85 = 101,219.90 : x
  2. Step 2: Convert to fraction form
    201,311.60/302,003.85 = 101,219.90/x
  3. Step 3: Cross multiply
    201,311.60x = 302,003.85 × 101,219.90
  4. Step 4: Simplify right side
    201,311.60x = 30,568,799,496.62
  5. Step 5: Solve for x
    x = 30,568,799,496.62/201,311.60
  6. Step 6: Final answer
    x = 151,848.18

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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.