Finding the Fourth Proportional to 129,514.14, 193,908.30 and 97,824.51
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Solution
The fourth proportional to 129,514.14, 193,908.30 and 97,824.51 is: 146,462.66
Step by Step Solution
- Step 1: Write the proportion equation
129,514.14 : 193,908.30 = 97,824.51 : x - Step 2: Convert to fraction form
129,514.14/193,908.30 = 97,824.51/x - Step 3: Cross multiply
129,514.14x = 193,908.30 × 97,824.51 - Step 4: Simplify right side
129,514.14x = 18,968,984,890.99 - Step 5: Solve for x
x = 18,968,984,890.99/129,514.14 - Step 6: Final answer
x = 146,462.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.