Finding the Fourth Proportional to 83,548.08, 115,296.12 and 47,749.20
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Solution
The fourth proportional to 83,548.08, 115,296.12 and 47,749.20 is: 65,893.76
Step by Step Solution
- Step 1: Write the proportion equation
83,548.08 : 115,296.12 = 47,749.20 : x - Step 2: Convert to fraction form
83,548.08/115,296.12 = 47,749.20/x - Step 3: Cross multiply
83,548.08x = 115,296.12 × 47,749.20 - Step 4: Simplify right side
83,548.08x = 5,505,297,493.10 - Step 5: Solve for x
x = 5,505,297,493.10/83,548.08 - Step 6: Final answer
x = 65,893.76
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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.