Finding the Fourth Proportional to 209,684.34, 314,053.33 and 97,128.09
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Solution
The fourth proportional to 209,684.34, 314,053.33 and 97,128.09 is: 145,472.95
Step by Step Solution
- Step 1: Write the proportion equation
209,684.34 : 314,053.33 = 97,128.09 : x - Step 2: Convert to fraction form
209,684.34/314,053.33 = 97,128.09/x - Step 3: Cross multiply
209,684.34x = 314,053.33 × 97,128.09 - Step 4: Simplify right side
209,684.34x = 30,503,400,101.04 - Step 5: Solve for x
x = 30,503,400,101.04/209,684.34 - Step 6: Final answer
x = 145,472.95
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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.