Finding the Fourth Proportional to 205,707.24, 283,968.36 and 120,829.68
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Solution
The fourth proportional to 205,707.24, 283,968.36 and 120,829.68 is: 166,799.21
Step by Step Solution
- Step 1: Write the proportion equation
205,707.24 : 283,968.36 = 120,829.68 : x - Step 2: Convert to fraction form
205,707.24/283,968.36 = 120,829.68/x - Step 3: Cross multiply
205,707.24x = 283,968.36 × 120,829.68 - Step 4: Simplify right side
205,707.24x = 34,311,806,068.92 - Step 5: Solve for x
x = 34,311,806,068.92/205,707.24 - Step 6: Final answer
x = 166,799.21
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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.