Finding the Fourth Proportional to 206,227.24, 284,617.20 and 115,607.68
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Solution
The fourth proportional to 206,227.24, 284,617.20 and 115,607.68 is: 159,551.83
Step by Step Solution
- Step 1: Write the proportion equation
206,227.24 : 284,617.20 = 115,607.68 : x - Step 2: Convert to fraction form
206,227.24/284,617.20 = 115,607.68/x - Step 3: Cross multiply
206,227.24x = 284,617.20 × 115,607.68 - Step 4: Simplify right side
206,227.24x = 32,903,934,180.10 - Step 5: Solve for x
x = 32,903,934,180.10/206,227.24 - Step 6: Final answer
x = 159,551.83
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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.