Finding the Fourth Proportional to 76,408.64, 105,456.50 and 42,427.99
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Solution
The fourth proportional to 76,408.64, 105,456.50 and 42,427.99 is: 58,557.61
Step by Step Solution
- Step 1: Write the proportion equation
76,408.64 : 105,456.50 = 42,427.99 : x - Step 2: Convert to fraction form
76,408.64/105,456.50 = 42,427.99/x - Step 3: Cross multiply
76,408.64x = 105,456.50 × 42,427.99 - Step 4: Simplify right side
76,408.64x = 4,474,307,327.44 - Step 5: Solve for x
x = 4,474,307,327.44/76,408.64 - Step 6: Final answer
x = 58,557.61
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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.