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Finding the Fourth Proportional to 201,110.20, 301,835.40 and 82,866.40

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Solution

The fourth proportional to 201,110.20, 301,835.40 and 82,866.40 is: 124,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,110.20 : 301,835.40 = 82,866.40 : x
  2. Step 2: Convert to fraction form
    201,110.20/301,835.40 = 82,866.40/x
  3. Step 3: Cross multiply
    201,110.20x = 301,835.40 × 82,866.40
  4. Step 4: Simplify right side
    201,110.20x = 25,012,012,990.56
  5. Step 5: Solve for x
    x = 25,012,012,990.56/201,110.20
  6. Step 6: Final answer
    x = 124,369.69

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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.