Finding the Fourth Proportional to 77,202, 106,538.76 and 41,874
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Solution
The fourth proportional to 77,202, 106,538.76 and 41,874 is: 57,786.12
Step by Step Solution
- Step 1: Write the proportion equation
77,202 : 106,538.76 = 41,874 : x - Step 2: Convert to fraction form
77,202/106,538.76 = 41,874/x - Step 3: Cross multiply
77,202x = 106,538.76 × 41,874 - Step 4: Simplify right side
77,202x = 4,461,204,036.24 - Step 5: Solve for x
x = 4,461,204,036.24/77,202 - Step 6: Final answer
x = 57,786.12
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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.