Finding the Fourth Proportional to 144,202.14, 198,997.81 and 83,808.13
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Solution
The fourth proportional to 144,202.14, 198,997.81 and 83,808.13 is: 115,654.55
Step by Step Solution
- Step 1: Write the proportion equation
144,202.14 : 198,997.81 = 83,808.13 : x - Step 2: Convert to fraction form
144,202.14/198,997.81 = 83,808.13/x - Step 3: Cross multiply
144,202.14x = 198,997.81 × 83,808.13 - Step 4: Simplify right side
144,202.14x = 16,677,634,330.20 - Step 5: Solve for x
x = 16,677,634,330.20/144,202.14 - Step 6: Final answer
x = 115,654.55
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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.