Finding the Fourth Proportional to 83,497.14, 115,223.67 and 47,686.41
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Solution
The fourth proportional to 83,497.14, 115,223.67 and 47,686.41 is: 65,805.88
Step by Step Solution
- Step 1: Write the proportion equation
83,497.14 : 115,223.67 = 47,686.41 : x - Step 2: Convert to fraction form
83,497.14/115,223.67 = 47,686.41/x - Step 3: Cross multiply
83,497.14x = 115,223.67 × 47,686.41 - Step 4: Simplify right side
83,497.14x = 5,494,603,169.32 - Step 5: Solve for x
x = 5,494,603,169.32/83,497.14 - Step 6: Final answer
x = 65,805.88
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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.