Finding the Fourth Proportional to 206,268.21, 284,595.23 and 119,031.21
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Solution
The fourth proportional to 206,268.21, 284,595.23 and 119,031.21 is: 164,231.39
Step by Step Solution
- Step 1: Write the proportion equation
206,268.21 : 284,595.23 = 119,031.21 : x - Step 2: Convert to fraction form
206,268.21/284,595.23 = 119,031.21/x - Step 3: Cross multiply
206,268.21x = 284,595.23 × 119,031.21 - Step 4: Simplify right side
206,268.21x = 33,875,714,587.13 - Step 5: Solve for x
x = 33,875,714,587.13/206,268.21 - Step 6: Final answer
x = 164,231.39
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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.