Finding the Fourth Proportional to 206,110.56, 284,417.73 and 115,451.19
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Solution
The fourth proportional to 206,110.56, 284,417.73 and 115,451.19 is: 159,314.33
Step by Step Solution
- Step 1: Write the proportion equation
206,110.56 : 284,417.73 = 115,451.19 : x - Step 2: Convert to fraction form
206,110.56/284,417.73 = 115,451.19/x - Step 3: Cross multiply
206,110.56x = 284,417.73 × 115,451.19 - Step 4: Simplify right side
206,110.56x = 32,836,365,385.60 - Step 5: Solve for x
x = 32,836,365,385.60/206,110.56 - Step 6: Final answer
x = 159,314.33
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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.