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Finding the Fourth Proportional to 149,110, 205,771.80 and 82,042

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Solution

The fourth proportional to 149,110, 205,771.80 and 82,042 is: 113,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,110 : 205,771.80 = 82,042 : x
  2. Step 2: Convert to fraction form
    149,110/205,771.80 = 82,042/x
  3. Step 3: Cross multiply
    149,110x = 205,771.80 × 82,042
  4. Step 4: Simplify right side
    149,110x = 16,881,930,015.60
  5. Step 5: Solve for x
    x = 16,881,930,015.60/149,110
  6. Step 6: Final answer
    x = 113,217.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.