Finding the Fourth Proportional to 230,821.74, 346,274.73 and 106,159.50
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Solution
The fourth proportional to 230,821.74, 346,274.73 and 106,159.50 is: 159,258.62
Step by Step Solution
- Step 1: Write the proportion equation
230,821.74 : 346,274.73 = 106,159.50 : x - Step 2: Convert to fraction form
230,821.74/346,274.73 = 106,159.50/x - Step 3: Cross multiply
230,821.74x = 346,274.73 × 106,159.50 - Step 4: Simplify right side
230,821.74x = 36,760,352,199.44 - Step 5: Solve for x
x = 36,760,352,199.44/230,821.74 - Step 6: Final answer
x = 159,258.62
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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.