Finding the Fourth Proportional to 205,135.94, 283,101.80 and 114,509.52
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Solution
The fourth proportional to 205,135.94, 283,101.80 and 114,509.52 is: 158,031.07
Step by Step Solution
- Step 1: Write the proportion equation
205,135.94 : 283,101.80 = 114,509.52 : x - Step 2: Convert to fraction form
205,135.94/283,101.80 = 114,509.52/x - Step 3: Cross multiply
205,135.94x = 283,101.80 × 114,509.52 - Step 4: Simplify right side
205,135.94x = 32,417,851,229.14 - Step 5: Solve for x
x = 32,417,851,229.14/205,135.94 - Step 6: Final answer
x = 158,031.07
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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.