Finding the Fourth Proportional to 83,012.08, 114,556.14 and 47,202.08
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Solution
The fourth proportional to 83,012.08, 114,556.14 and 47,202.08 is: 65,138.57
Step by Step Solution
- Step 1: Write the proportion equation
83,012.08 : 114,556.14 = 47,202.08 : x - Step 2: Convert to fraction form
83,012.08/114,556.14 = 47,202.08/x - Step 3: Cross multiply
83,012.08x = 114,556.14 × 47,202.08 - Step 4: Simplify right side
83,012.08x = 5,407,288,371.16 - Step 5: Solve for x
x = 5,407,288,371.16/83,012.08 - Step 6: Final answer
x = 65,138.57
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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.