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Finding the Fourth Proportional to 201,085.44, 301,420.80 and 90,355.20

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Solution

The fourth proportional to 201,085.44, 301,420.80 and 90,355.20 is: 135,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,085.44 : 301,420.80 = 90,355.20 : x
  2. Step 2: Convert to fraction form
    201,085.44/301,420.80 = 90,355.20/x
  3. Step 3: Cross multiply
    201,085.44x = 301,420.80 × 90,355.20
  4. Step 4: Simplify right side
    201,085.44x = 27,234,936,668.16
  5. Step 5: Solve for x
    x = 27,234,936,668.16/201,085.44
  6. Step 6: Final answer
    x = 135,439.63

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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.