Finding the Fourth Proportional to 208,713.24, 288,023.04 and 113,217.84
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Solution
The fourth proportional to 208,713.24, 288,023.04 and 113,217.84 is: 156,239.95
Step by Step Solution
- Step 1: Write the proportion equation
208,713.24 : 288,023.04 = 113,217.84 : x - Step 2: Convert to fraction form
208,713.24/288,023.04 = 113,217.84/x - Step 3: Cross multiply
208,713.24x = 288,023.04 × 113,217.84 - Step 4: Simplify right side
208,713.24x = 32,609,346,459.03 - Step 5: Solve for x
x = 32,609,346,459.03/208,713.24 - Step 6: Final answer
x = 156,239.95
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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.