Finding the Fourth Proportional to 205,116.95, 283,060.79 and 114,471.95
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Solution
The fourth proportional to 205,116.95, 283,060.79 and 114,471.95 is: 157,970.95
Step by Step Solution
- Step 1: Write the proportion equation
205,116.95 : 283,060.79 = 114,471.95 : x - Step 2: Convert to fraction form
205,116.95/283,060.79 = 114,471.95/x - Step 3: Cross multiply
205,116.95x = 283,060.79 × 114,471.95 - Step 4: Simplify right side
205,116.95x = 32,402,520,027.48 - Step 5: Solve for x
x = 32,402,520,027.48/205,116.95 - Step 6: Final answer
x = 157,970.95
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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.