Finding the Fourth Proportional to 205,268,971.93, 283,044,119.92 and 130,811,507.17
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Solution
The fourth proportional to 205,268,971.93, 283,044,119.92 and 130,811,507.17 is: 180,375,180.79
Step by Step Solution
- Step 1: Write the proportion equation
205,268,971.93 : 283,044,119.92 = 130,811,507.17 : x - Step 2: Convert to fraction form
205,268,971.93/283,044,119.92 = 130,811,507.17/x - Step 3: Cross multiply
205,268,971.93x = 283,044,119.92 × 130,811,507.17 - Step 4: Simplify right side
205,268,971.93x = 37,025,427,922,341,424 - Step 5: Solve for x
x = 37,025,427,922,341,424/205,268,971.93 - Step 6: Final answer
x = 180,375,180.79
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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.