Finding the Fourth Proportional to 212,966.36, 319,201.14 and 160,206.20
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Solution
The fourth proportional to 212,966.36, 319,201.14 and 160,206.20 is: 240,122.44
Step by Step Solution
- Step 1: Write the proportion equation
212,966.36 : 319,201.14 = 160,206.20 : x - Step 2: Convert to fraction form
212,966.36/319,201.14 = 160,206.20/x - Step 3: Cross multiply
212,966.36x = 319,201.14 × 160,206.20 - Step 4: Simplify right side
212,966.36x = 51,138,001,675.07 - Step 5: Solve for x
x = 51,138,001,675.07/212,966.36 - Step 6: Final answer
x = 240,122.44
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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.