Finding the Fourth Proportional to 109,749, 164,413.14 and 65,241
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Solution
The fourth proportional to 109,749, 164,413.14 and 65,241 is: 97,736.45
Step by Step Solution
- Step 1: Write the proportion equation
109,749 : 164,413.14 = 65,241 : x - Step 2: Convert to fraction form
109,749/164,413.14 = 65,241/x - Step 3: Cross multiply
109,749x = 164,413.14 × 65,241 - Step 4: Simplify right side
109,749x = 10,726,477,666.74 - Step 5: Solve for x
x = 10,726,477,666.74/109,749 - Step 6: Final answer
x = 97,736.45
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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.