Finding the Fourth Proportional to 205,997.72, 284,253.36 and 115,341.08
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Solution
The fourth proportional to 205,997.72, 284,253.36 and 115,341.08 is: 159,157.54
Step by Step Solution
- Step 1: Write the proportion equation
205,997.72 : 284,253.36 = 115,341.08 : x - Step 2: Convert to fraction form
205,997.72/284,253.36 = 115,341.08/x - Step 3: Cross multiply
205,997.72x = 284,253.36 × 115,341.08 - Step 4: Simplify right side
205,997.72x = 32,786,089,536.03 - Step 5: Solve for x
x = 32,786,089,536.03/205,997.72 - Step 6: Final answer
x = 159,157.54
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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.