Finding the Fourth Proportional to 205,031.99, 282,943.74 and 114,382.55
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Solution
The fourth proportional to 205,031.99, 282,943.74 and 114,382.55 is: 157,847.69
Step by Step Solution
- Step 1: Write the proportion equation
205,031.99 : 282,943.74 = 114,382.55 : x - Step 2: Convert to fraction form
205,031.99/282,943.74 = 114,382.55/x - Step 3: Cross multiply
205,031.99x = 282,943.74 × 114,382.55 - Step 4: Simplify right side
205,031.99x = 32,363,826,487.74 - Step 5: Solve for x
x = 32,363,826,487.74/205,031.99 - Step 6: Final answer
x = 157,847.69
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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.