Finding the Fourth Proportional to 130,827.84, 180,517.74 and 77,129.70
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Solution
The fourth proportional to 130,827.84, 180,517.74 and 77,129.70 is: 106,424.44
Step by Step Solution
- Step 1: Write the proportion equation
130,827.84 : 180,517.74 = 77,129.70 : x - Step 2: Convert to fraction form
130,827.84/180,517.74 = 77,129.70/x - Step 3: Cross multiply
130,827.84x = 180,517.74 × 77,129.70 - Step 4: Simplify right side
130,827.84x = 13,923,279,130.88 - Step 5: Solve for x
x = 13,923,279,130.88/130,827.84 - Step 6: Final answer
x = 106,424.44
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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.