Finding the Fourth Proportional to 102,014.82, 140,778.63 and 56,691.99
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Solution
The fourth proportional to 102,014.82, 140,778.63 and 56,691.99 is: 78,233.93
Step by Step Solution
- Step 1: Write the proportion equation
102,014.82 : 140,778.63 = 56,691.99 : x - Step 2: Convert to fraction form
102,014.82/140,778.63 = 56,691.99/x - Step 3: Cross multiply
102,014.82x = 140,778.63 × 56,691.99 - Step 4: Simplify right side
102,014.82x = 7,981,020,684.17 - Step 5: Solve for x
x = 7,981,020,684.17/102,014.82 - Step 6: Final answer
x = 78,233.93
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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.