Finding the Fourth Proportional to 106,074.20, 159,107.70 and 27,189.20
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Solution
The fourth proportional to 106,074.20, 159,107.70 and 27,189.20 is: 40,782.88
Step by Step Solution
- Step 1: Write the proportion equation
106,074.20 : 159,107.70 = 27,189.20 : x - Step 2: Convert to fraction form
106,074.20/159,107.70 = 27,189.20/x - Step 3: Cross multiply
106,074.20x = 159,107.70 × 27,189.20 - Step 4: Simplify right side
106,074.20x = 4,326,011,076.84 - Step 5: Solve for x
x = 4,326,011,076.84/106,074.20 - Step 6: Final answer
x = 40,782.88
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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.