Finding the Fourth Proportional to 106,027.24, 146,343.45 and 65,201.42
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Solution
The fourth proportional to 106,027.24, 146,343.45 and 65,201.42 is: 89,993.86
Step by Step Solution
- Step 1: Write the proportion equation
106,027.24 : 146,343.45 = 65,201.42 : x - Step 2: Convert to fraction form
106,027.24/146,343.45 = 65,201.42/x - Step 3: Cross multiply
106,027.24x = 146,343.45 × 65,201.42 - Step 4: Simplify right side
106,027.24x = 9,541,800,282.23 - Step 5: Solve for x
x = 9,541,800,282.23/106,027.24 - Step 6: Final answer
x = 89,993.86
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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.