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Finding the Fourth Proportional to 149,281.94, 205,999.72 and 82,213.94

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Solution

The fourth proportional to 149,281.94, 205,999.72 and 82,213.94 is: 113,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,281.94 : 205,999.72 = 82,213.94 : x
  2. Step 2: Convert to fraction form
    149,281.94/205,999.72 = 82,213.94/x
  3. Step 3: Cross multiply
    149,281.94x = 205,999.72 × 82,213.94
  4. Step 4: Simplify right side
    149,281.94x = 16,936,048,620.10
  5. Step 5: Solve for x
    x = 16,936,048,620.10/149,281.94
  6. Step 6: Final answer
    x = 113,450.08

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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.