Finding the Fourth Proportional to 206,289.51, 284,665.05 and 114,407.26
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Solution
The fourth proportional to 206,289.51, 284,665.05 and 114,407.26 is: 157,873.99
Step by Step Solution
- Step 1: Write the proportion equation
206,289.51 : 284,665.05 = 114,407.26 : x - Step 2: Convert to fraction form
206,289.51/284,665.05 = 114,407.26/x - Step 3: Cross multiply
206,289.51x = 284,665.05 × 114,407.26 - Step 4: Simplify right side
206,289.51x = 32,567,748,388.26 - Step 5: Solve for x
x = 32,567,748,388.26/206,289.51 - Step 6: Final answer
x = 157,873.99
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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.