Finding the Fourth Proportional to 83,902.08, 125,823.14 and 27,731.82
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Solution
The fourth proportional to 83,902.08, 125,823.14 and 27,731.82 is: 41,587.82
Step by Step Solution
- Step 1: Write the proportion equation
83,902.08 : 125,823.14 = 27,731.82 : x - Step 2: Convert to fraction form
83,902.08/125,823.14 = 27,731.82/x - Step 3: Cross multiply
83,902.08x = 125,823.14 × 27,731.82 - Step 4: Simplify right side
83,902.08x = 3,489,304,670.31 - Step 5: Solve for x
x = 3,489,304,670.31/83,902.08 - Step 6: Final answer
x = 41,587.82
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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.