Finding the Fourth Proportional to 106,178.16, 146,450.36 and 87,971.44
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Solution
The fourth proportional to 106,178.16, 146,450.36 and 87,971.44 is: 121,338.03
Step by Step Solution
- Step 1: Write the proportion equation
106,178.16 : 146,450.36 = 87,971.44 : x - Step 2: Convert to fraction form
106,178.16/146,450.36 = 87,971.44/x - Step 3: Cross multiply
106,178.16x = 146,450.36 × 87,971.44 - Step 4: Simplify right side
106,178.16x = 12,883,449,057.72 - Step 5: Solve for x
x = 12,883,449,057.72/106,178.16 - Step 6: Final answer
x = 121,338.03
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1.5x scale
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.