Finding the Fourth Proportional to 137,658.24, 189,970.08 and 77,241.84
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Solution
The fourth proportional to 137,658.24, 189,970.08 and 77,241.84 is: 106,594.70
Step by Step Solution
- Step 1: Write the proportion equation
137,658.24 : 189,970.08 = 77,241.84 : x - Step 2: Convert to fraction form
137,658.24/189,970.08 = 77,241.84/x - Step 3: Cross multiply
137,658.24x = 189,970.08 × 77,241.84 - Step 4: Simplify right side
137,658.24x = 14,673,638,524.15 - Step 5: Solve for x
x = 14,673,638,524.15/137,658.24 - Step 6: Final answer
x = 106,594.70
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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.