Finding the Fourth Proportional to 216,468.24, 324,734.76 and 76,202.16
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Solution
The fourth proportional to 216,468.24, 324,734.76 and 76,202.16 is: 114,314.65
Step by Step Solution
- Step 1: Write the proportion equation
216,468.24 : 324,734.76 = 76,202.16 : x - Step 2: Convert to fraction form
216,468.24/324,734.76 = 76,202.16/x - Step 3: Cross multiply
216,468.24x = 324,734.76 × 76,202.16 - Step 4: Simplify right side
216,468.24x = 24,745,490,139.08 - Step 5: Solve for x
x = 24,745,490,139.08/216,468.24 - Step 6: Final answer
x = 114,314.65
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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.