Finding the Fourth Proportional to 83,122.14, 114,708.68 and 47,312.15
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Solution
The fourth proportional to 83,122.14, 114,708.68 and 47,312.15 is: 65,290.84
Step by Step Solution
- Step 1: Write the proportion equation
83,122.14 : 114,708.68 = 47,312.15 : x - Step 2: Convert to fraction form
83,122.14/114,708.68 = 47,312.15/x - Step 3: Cross multiply
83,122.14x = 114,708.68 × 47,312.15 - Step 4: Simplify right side
83,122.14x = 5,427,114,274.46 - Step 5: Solve for x
x = 5,427,114,274.46/83,122.14 - Step 6: Final answer
x = 65,290.84
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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.