Finding the Fourth Proportional to 97,825.30, 134,757.09 and 83,438.26
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Solution
The fourth proportional to 97,825.30, 134,757.09 and 83,438.26 is: 114,938.54
Step by Step Solution
- Step 1: Write the proportion equation
97,825.30 : 134,757.09 = 83,438.26 : x - Step 2: Convert to fraction form
97,825.30/134,757.09 = 83,438.26/x - Step 3: Cross multiply
97,825.30x = 134,757.09 × 83,438.26 - Step 4: Simplify right side
97,825.30x = 11,243,897,112.26 - Step 5: Solve for x
x = 11,243,897,112.26/97,825.30 - Step 6: Final answer
x = 114,938.54
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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.