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Finding the Fourth Proportional to 201,105.40, 301,658.10 and 82,861.60

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Solution

The fourth proportional to 201,105.40, 301,658.10 and 82,861.60 is: 124,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,105.40 : 301,658.10 = 82,861.60 : x
  2. Step 2: Convert to fraction form
    201,105.40/301,658.10 = 82,861.60/x
  3. Step 3: Cross multiply
    201,105.40x = 301,658.10 × 82,861.60
  4. Step 4: Simplify right side
    201,105.40x = 24,995,872,818.96
  5. Step 5: Solve for x
    x = 24,995,872,818.96/201,105.40
  6. Step 6: Final answer
    x = 124,292.40

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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.