Finding the Fourth Proportional to 106,869.16, 160,302.30 and 51,296.68
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Solution
The fourth proportional to 106,869.16, 160,302.30 and 51,296.68 is: 76,944.33
Step by Step Solution
- Step 1: Write the proportion equation
106,869.16 : 160,302.30 = 51,296.68 : x - Step 2: Convert to fraction form
106,869.16/160,302.30 = 51,296.68/x - Step 3: Cross multiply
106,869.16x = 160,302.30 × 51,296.68 - Step 4: Simplify right side
106,869.16x = 8,222,975,786.36 - Step 5: Solve for x
x = 8,222,975,786.36/106,869.16 - Step 6: Final answer
x = 76,944.33
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1.5x scale
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.