Finding the Fourth Proportional to 186,735.16, 257,716.30 and 106,174.75
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Solution
The fourth proportional to 186,735.16, 257,716.30 and 106,174.75 is: 146,533.54
Step by Step Solution
- Step 1: Write the proportion equation
186,735.16 : 257,716.30 = 106,174.75 : x - Step 2: Convert to fraction form
186,735.16/257,716.30 = 106,174.75/x - Step 3: Cross multiply
186,735.16x = 257,716.30 × 106,174.75 - Step 4: Simplify right side
186,735.16x = 27,362,963,723.43 - Step 5: Solve for x
x = 27,362,963,723.43/186,735.16 - Step 6: Final answer
x = 146,533.54
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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.