Finding the Fourth Proportional to 205,386.24, 283,422.84 and 114,724.14
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Solution
The fourth proportional to 205,386.24, 283,422.84 and 114,724.14 is: 158,313.63
Step by Step Solution
- Step 1: Write the proportion equation
205,386.24 : 283,422.84 = 114,724.14 : x - Step 2: Convert to fraction form
205,386.24/283,422.84 = 114,724.14/x - Step 3: Cross multiply
205,386.24x = 283,422.84 × 114,724.14 - Step 4: Simplify right side
205,386.24x = 32,515,441,575.36 - Step 5: Solve for x
x = 32,515,441,575.36/205,386.24 - Step 6: Final answer
x = 158,313.63
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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.