Finding the Fourth Proportional to 204,413.41, 306,670.74 and 97,878.43
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Solution
The fourth proportional to 204,413.41, 306,670.74 and 97,878.43 is: 146,841.89
Step by Step Solution
- Step 1: Write the proportion equation
204,413.41 : 306,670.74 = 97,878.43 : x - Step 2: Convert to fraction form
204,413.41/306,670.74 = 97,878.43/x - Step 3: Cross multiply
204,413.41x = 306,670.74 × 97,878.43 - Step 4: Simplify right side
204,413.41x = 30,016,450,558.14 - Step 5: Solve for x
x = 30,016,450,558.14/204,413.41 - Step 6: Final answer
x = 146,841.89
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.