Finding the Fourth Proportional to 205,135.81, 283,101.62 and 114,509.40
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Solution
The fourth proportional to 205,135.81, 283,101.62 and 114,509.40 is: 158,030.89
Step by Step Solution
- Step 1: Write the proportion equation
205,135.81 : 283,101.62 = 114,509.40 : x - Step 2: Convert to fraction form
205,135.81/283,101.62 = 114,509.40/x - Step 3: Cross multiply
205,135.81x = 283,101.62 × 114,509.40 - Step 4: Simplify right side
205,135.81x = 32,417,795,011.05 - Step 5: Solve for x
x = 32,417,795,011.05/205,135.81 - Step 6: Final answer
x = 158,030.89
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1.5x scale
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.