Finding the Fourth Proportional to 102,431.41, 153,647.12 and 32,316.19
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Solution
The fourth proportional to 102,431.41, 153,647.12 and 32,316.19 is: 48,474.28
Step by Step Solution
- Step 1: Write the proportion equation
102,431.41 : 153,647.12 = 32,316.19 : x - Step 2: Convert to fraction form
102,431.41/153,647.12 = 32,316.19/x - Step 3: Cross multiply
102,431.41x = 153,647.12 × 32,316.19 - Step 4: Simplify right side
102,431.41x = 4,965,289,219.55 - Step 5: Solve for x
x = 4,965,289,219.55/102,431.41 - Step 6: Final answer
x = 48,474.28
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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.