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Finding the Fourth Proportional to 201,456.20, 301,819.80 and 159,611.60

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Solution

The fourth proportional to 201,456.20, 301,819.80 and 159,611.60 is: 239,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,456.20 : 301,819.80 = 159,611.60 : x
  2. Step 2: Convert to fraction form
    201,456.20/301,819.80 = 159,611.60/x
  3. Step 3: Cross multiply
    201,456.20x = 301,819.80 × 159,611.60
  4. Step 4: Simplify right side
    201,456.20x = 48,173,941,189.68
  5. Step 5: Solve for x
    x = 48,173,941,189.68/201,456.20
  6. Step 6: Final answer
    x = 239,128.61

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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.