Finding the Fourth Proportional to 106,048.20, 159,068.64 and 27,163.20
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Solution
The fourth proportional to 106,048.20, 159,068.64 and 27,163.20 is: 40,743.86
Step by Step Solution
- Step 1: Write the proportion equation
106,048.20 : 159,068.64 = 27,163.20 : x - Step 2: Convert to fraction form
106,048.20/159,068.64 = 27,163.20/x - Step 3: Cross multiply
106,048.20x = 159,068.64 × 27,163.20 - Step 4: Simplify right side
106,048.20x = 4,320,813,282.05 - Step 5: Solve for x
x = 4,320,813,282.05/106,048.20 - Step 6: Final answer
x = 40,743.86
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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.