Finding the Fourth Proportional to 201,698.10, 302,644.35 and 142,406.10
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Solution
The fourth proportional to 201,698.10, 302,644.35 and 142,406.10 is: 213,677.78
Step by Step Solution
- Step 1: Write the proportion equation
201,698.10 : 302,644.35 = 142,406.10 : x - Step 2: Convert to fraction form
201,698.10/302,644.35 = 142,406.10/x - Step 3: Cross multiply
201,698.10x = 302,644.35 × 142,406.10 - Step 4: Simplify right side
201,698.10x = 43,098,401,570.54 - Step 5: Solve for x
x = 43,098,401,570.54/201,698.10 - Step 6: Final answer
x = 213,677.78
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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.