Finding the Fourth Proportional to 199,823.97, 275,748.53 and 109,178.49
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Solution
The fourth proportional to 199,823.97, 275,748.53 and 109,178.49 is: 150,661.64
Step by Step Solution
- Step 1: Write the proportion equation
199,823.97 : 275,748.53 = 109,178.49 : x - Step 2: Convert to fraction form
199,823.97/275,748.53 = 109,178.49/x - Step 3: Cross multiply
199,823.97x = 275,748.53 × 109,178.49 - Step 4: Simplify right side
199,823.97x = 30,105,807,579.23 - Step 5: Solve for x
x = 30,105,807,579.23/199,823.97 - Step 6: Final answer
x = 150,661.64
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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.