Finding the Fourth Proportional to 205,374.92, 283,397.01 and 114,728.94
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Solution
The fourth proportional to 205,374.92, 283,397.01 and 114,728.94 is: 158,314.55
Step by Step Solution
- Step 1: Write the proportion equation
205,374.92 : 283,397.01 = 114,728.94 : x - Step 2: Convert to fraction form
205,374.92/283,397.01 = 114,728.94/x - Step 3: Cross multiply
205,374.92x = 283,397.01 × 114,728.94 - Step 4: Simplify right side
205,374.92x = 32,513,837,139.48 - Step 5: Solve for x
x = 32,513,837,139.48/205,374.92 - Step 6: Final answer
x = 158,314.55
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.