Finding the Fourth Proportional to 206,211.24, 284,595.12 and 115,591.68
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Solution
The fourth proportional to 206,211.24, 284,595.12 and 115,591.68 is: 159,529.75
Step by Step Solution
- Step 1: Write the proportion equation
206,211.24 : 284,595.12 = 115,591.68 : x - Step 2: Convert to fraction form
206,211.24/284,595.12 = 115,591.68/x - Step 3: Cross multiply
206,211.24x = 284,595.12 × 115,591.68 - Step 4: Simplify right side
206,211.24x = 32,896,828,040.60 - Step 5: Solve for x
x = 32,896,828,040.60/206,211.24 - Step 6: Final answer
x = 159,529.75
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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.