Finding the Fourth Proportional to 201,713.20, 301,913.70 and 157,098.40
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Solution
The fourth proportional to 201,713.20, 301,913.70 and 157,098.40 is: 235,136.62
Step by Step Solution
- Step 1: Write the proportion equation
201,713.20 : 301,913.70 = 157,098.40 : x - Step 2: Convert to fraction form
201,713.20/301,913.70 = 157,098.40/x - Step 3: Cross multiply
201,713.20x = 301,913.70 × 157,098.40 - Step 4: Simplify right side
201,713.20x = 47,430,159,208.08 - Step 5: Solve for x
x = 47,430,159,208.08/201,713.20 - Step 6: Final answer
x = 235,136.62
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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.