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Finding the Fourth Proportional to 201,105.80, 301,768.05 and 82,789.10

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Solution

The fourth proportional to 201,105.80, 301,768.05 and 82,789.10 is: 124,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,105.80 : 301,768.05 = 82,789.10 : x
  2. Step 2: Convert to fraction form
    201,105.80/301,768.05 = 82,789.10/x
  3. Step 3: Cross multiply
    201,105.80x = 301,768.05 × 82,789.10
  4. Step 4: Simplify right side
    201,105.80x = 24,983,105,268.26
  5. Step 5: Solve for x
    x = 24,983,105,268.26/201,105.80
  6. Step 6: Final answer
    x = 124,228.67

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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.