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Finding the Fourth Proportional to 201,620.80, 302,431.20 and 83,231.20

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Solution

The fourth proportional to 201,620.80, 302,431.20 and 83,231.20 is: 124,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,620.80 : 302,431.20 = 83,231.20 : x
  2. Step 2: Convert to fraction form
    201,620.80/302,431.20 = 83,231.20/x
  3. Step 3: Cross multiply
    201,620.80x = 302,431.20 × 83,231.20
  4. Step 4: Simplify right side
    201,620.80x = 25,171,711,693.44
  5. Step 5: Solve for x
    x = 25,171,711,693.44/201,620.80
  6. Step 6: Final answer
    x = 124,846.80

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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.