Finding the Fourth Proportional to 208,645.76, 312,968.64 and 97,811.84
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Solution
The fourth proportional to 208,645.76, 312,968.64 and 97,811.84 is: 146,717.76
Step by Step Solution
- Step 1: Write the proportion equation
208,645.76 : 312,968.64 = 97,811.84 : x - Step 2: Convert to fraction form
208,645.76/312,968.64 = 97,811.84/x - Step 3: Cross multiply
208,645.76x = 312,968.64 × 97,811.84 - Step 4: Simplify right side
208,645.76x = 30,612,038,540.70 - Step 5: Solve for x
x = 30,612,038,540.70/208,645.76 - Step 6: Final answer
x = 146,717.76
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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.