Finding the Fourth Proportional to 107,156.64, 147,991.68 and 83,565.12
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Solution
The fourth proportional to 107,156.64, 147,991.68 and 83,565.12 is: 115,409.95
Step by Step Solution
- Step 1: Write the proportion equation
107,156.64 : 147,991.68 = 83,565.12 : x - Step 2: Convert to fraction form
107,156.64/147,991.68 = 83,565.12/x - Step 3: Cross multiply
107,156.64x = 147,991.68 × 83,565.12 - Step 4: Simplify right side
107,156.64x = 12,366,942,498.20 - Step 5: Solve for x
x = 12,366,942,498.20/107,156.64 - Step 6: Final answer
x = 115,409.95
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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.