Finding the Fourth Proportional to 205,387.10, 283,434.17 and 114,743.09
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Solution
The fourth proportional to 205,387.10, 283,434.17 and 114,743.09 is: 158,345.45
Step by Step Solution
- Step 1: Write the proportion equation
205,387.10 : 283,434.17 = 114,743.09 : x - Step 2: Convert to fraction form
205,387.10/283,434.17 = 114,743.09/x - Step 3: Cross multiply
205,387.10x = 283,434.17 × 114,743.09 - Step 4: Simplify right side
205,387.10x = 32,522,112,612.26 - Step 5: Solve for x
x = 32,522,112,612.26/205,387.10 - Step 6: Final answer
x = 158,345.45
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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.