Finding the Fourth Proportional to 75,828.65, 104,643.90 and 41,837.14
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Solution
The fourth proportional to 75,828.65, 104,643.90 and 41,837.14 is: 57,735.45
Step by Step Solution
- Step 1: Write the proportion equation
75,828.65 : 104,643.90 = 41,837.14 : x - Step 2: Convert to fraction form
75,828.65/104,643.90 = 41,837.14/x - Step 3: Cross multiply
75,828.65x = 104,643.90 × 41,837.14 - Step 4: Simplify right side
75,828.65x = 4,378,000,971.23 - Step 5: Solve for x
x = 4,378,000,971.23/75,828.65 - Step 6: Final answer
x = 57,735.45
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1.5x scale
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.