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Finding the Fourth Proportional to 149,715, 206,606.88 and 82,647

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Solution

The fourth proportional to 149,715, 206,606.88 and 82,647 is: 114,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715 : 206,606.88 = 82,647 : x
  2. Step 2: Convert to fraction form
    149,715/206,606.88 = 82,647/x
  3. Step 3: Cross multiply
    149,715x = 206,606.88 × 82,647
  4. Step 4: Simplify right side
    149,715x = 17,075,438,811.36
  5. Step 5: Solve for x
    x = 17,075,438,811.36/149,715
  6. Step 6: Final answer
    x = 114,052.96

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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.