Finding the Fourth Proportional to 105,138.24, 145,088.64 and 57,391.44
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Solution
The fourth proportional to 105,138.24, 145,088.64 and 57,391.44 is: 79,199.02
Step by Step Solution
- Step 1: Write the proportion equation
105,138.24 : 145,088.64 = 57,391.44 : x - Step 2: Convert to fraction form
105,138.24/145,088.64 = 57,391.44/x - Step 3: Cross multiply
105,138.24x = 145,088.64 × 57,391.44 - Step 4: Simplify right side
105,138.24x = 8,326,845,977.24 - Step 5: Solve for x
x = 8,326,845,977.24/105,138.24 - Step 6: Final answer
x = 79,199.02
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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.