Finding the Fourth Proportional to 205,387.12, 283,424.10 and 114,725.08
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Solution
The fourth proportional to 205,387.12, 283,424.10 and 114,725.08 is: 158,314.95
Step by Step Solution
- Step 1: Write the proportion equation
205,387.12 : 283,424.10 = 114,725.08 : x - Step 2: Convert to fraction form
205,387.12/283,424.10 = 114,725.08/x - Step 3: Cross multiply
205,387.12x = 283,424.10 × 114,725.08 - Step 4: Simplify right side
205,387.12x = 32,515,852,546.43 - Step 5: Solve for x
x = 32,515,852,546.43/205,387.12 - Step 6: Final answer
x = 158,314.95
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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.