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Finding the Fourth Proportional to 201,690.40, 302,535.60 and 83,446.60

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Solution

The fourth proportional to 201,690.40, 302,535.60 and 83,446.60 is: 125,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,690.40 : 302,535.60 = 83,446.60 : x
  2. Step 2: Convert to fraction form
    201,690.40/302,535.60 = 83,446.60/x
  3. Step 3: Cross multiply
    201,690.40x = 302,535.60 × 83,446.60
  4. Step 4: Simplify right side
    201,690.40x = 25,245,567,198.96
  5. Step 5: Solve for x
    x = 25,245,567,198.96/201,690.40
  6. Step 6: Final answer
    x = 125,169.90

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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.