Finding the Fourth Proportional to 100,923.96, 138,266.46 and 97,140.42
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Solution
The fourth proportional to 100,923.96, 138,266.46 and 97,140.42 is: 133,082.99
Step by Step Solution
- Step 1: Write the proportion equation
100,923.96 : 138,266.46 = 97,140.42 : x - Step 2: Convert to fraction form
100,923.96/138,266.46 = 97,140.42/x - Step 3: Cross multiply
100,923.96x = 138,266.46 × 97,140.42 - Step 4: Simplify right side
100,923.96x = 13,431,261,996.31 - Step 5: Solve for x
x = 13,431,261,996.31/100,923.96 - Step 6: Final answer
x = 133,082.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.