Finding the Fourth Proportional to 206,139.24, 284,495.76 and 115,519.68
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Solution
The fourth proportional to 206,139.24, 284,495.76 and 115,519.68 is: 159,430.39
Step by Step Solution
- Step 1: Write the proportion equation
206,139.24 : 284,495.76 = 115,519.68 : x - Step 2: Convert to fraction form
206,139.24/284,495.76 = 115,519.68/x - Step 3: Cross multiply
206,139.24x = 284,495.76 × 115,519.68 - Step 4: Simplify right side
206,139.24x = 32,864,859,156.56 - Step 5: Solve for x
x = 32,864,859,156.56/206,139.24 - Step 6: Final answer
x = 159,430.39
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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.