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Finding the Fourth Proportional to 201,780.20, 302,540.70 and 83,498.60

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Solution

The fourth proportional to 201,780.20, 302,540.70 and 83,498.60 is: 125,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,780.20 : 302,540.70 = 83,498.60 : x
  2. Step 2: Convert to fraction form
    201,780.20/302,540.70 = 83,498.60/x
  3. Step 3: Cross multiply
    201,780.20x = 302,540.70 × 83,498.60
  4. Step 4: Simplify right side
    201,780.20x = 25,261,724,893.02
  5. Step 5: Solve for x
    x = 25,261,724,893.02/201,780.20
  6. Step 6: Final answer
    x = 125,194.27

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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.