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Finding the Fourth Proportional to 149,211, 205,911.18 and 82,143

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Solution

The fourth proportional to 149,211, 205,911.18 and 82,143 is: 113,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,211 : 205,911.18 = 82,143 : x
  2. Step 2: Convert to fraction form
    149,211/205,911.18 = 82,143/x
  3. Step 3: Cross multiply
    149,211x = 205,911.18 × 82,143
  4. Step 4: Simplify right side
    149,211x = 16,914,162,058.74
  5. Step 5: Solve for x
    x = 16,914,162,058.74/149,211
  6. Step 6: Final answer
    x = 113,357.34

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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.