Finding the Fourth Proportional to 106,115.15, 159,178.40 and 27,230.06
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Solution
The fourth proportional to 106,115.15, 159,178.40 and 27,230.06 is: 40,846.54
Step by Step Solution
- Step 1: Write the proportion equation
106,115.15 : 159,178.40 = 27,230.06 : x - Step 2: Convert to fraction form
106,115.15/159,178.40 = 27,230.06/x - Step 3: Cross multiply
106,115.15x = 159,178.40 × 27,230.06 - Step 4: Simplify right side
106,115.15x = 4,334,436,450.66 - Step 5: Solve for x
x = 4,334,436,450.66/106,115.15 - Step 6: Final answer
x = 40,846.54
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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.