Finding the Fourth Proportional to 137,642.14, 189,745.09 and 97,284.70
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Solution
The fourth proportional to 137,642.14, 189,745.09 and 97,284.70 is: 134,110.78
Step by Step Solution
- Step 1: Write the proportion equation
137,642.14 : 189,745.09 = 97,284.70 : x - Step 2: Convert to fraction form
137,642.14/189,745.09 = 97,284.70/x - Step 3: Cross multiply
137,642.14x = 189,745.09 × 97,284.70 - Step 4: Simplify right side
137,642.14x = 18,459,294,157.12 - Step 5: Solve for x
x = 18,459,294,157.12/137,642.14 - Step 6: Final answer
x = 134,110.78
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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.