Finding the Fourth Proportional to 206,138.38, 309,203.18 and 56,378.68
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Solution
The fourth proportional to 206,138.38, 309,203.18 and 56,378.68 is: 84,566.82
Step by Step Solution
- Step 1: Write the proportion equation
206,138.38 : 309,203.18 = 56,378.68 : x - Step 2: Convert to fraction form
206,138.38/309,203.18 = 56,378.68/x - Step 3: Cross multiply
206,138.38x = 309,203.18 × 56,378.68 - Step 4: Simplify right side
206,138.38x = 17,432,467,140.20 - Step 5: Solve for x
x = 17,432,467,140.20/206,138.38 - Step 6: Final answer
x = 84,566.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.