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Finding the Fourth Proportional to 201,113.70, 301,840.65 and 82,869.90

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Solution

The fourth proportional to 201,113.70, 301,840.65 and 82,869.90 is: 124,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,113.70 : 301,840.65 = 82,869.90 : x
  2. Step 2: Convert to fraction form
    201,113.70/301,840.65 = 82,869.90/x
  3. Step 3: Cross multiply
    201,113.70x = 301,840.65 × 82,869.90
  4. Step 4: Simplify right side
    201,113.70x = 25,013,504,481.44
  5. Step 5: Solve for x
    x = 25,013,504,481.44/201,113.70
  6. Step 6: Final answer
    x = 124,374.94

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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.