Finding the Fourth Proportional to 102,232.13, 141,078.81 and 56,910.03
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Solution
The fourth proportional to 102,232.13, 141,078.81 and 56,910.03 is: 78,534.99
Step by Step Solution
- Step 1: Write the proportion equation
102,232.13 : 141,078.81 = 56,910.03 : x - Step 2: Convert to fraction form
102,232.13/141,078.81 = 56,910.03/x - Step 3: Cross multiply
102,232.13x = 141,078.81 × 56,910.03 - Step 4: Simplify right side
102,232.13x = 8,028,798,993.83 - Step 5: Solve for x
x = 8,028,798,993.83/102,232.13 - Step 6: Final answer
x = 78,534.99
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1.5x scale
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.