Finding the Fourth Proportional to 140,403.68, 193,695.42 and 83,782.28
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Solution
The fourth proportional to 140,403.68, 193,695.42 and 83,782.28 is: 115,582.75
Step by Step Solution
- Step 1: Write the proportion equation
140,403.68 : 193,695.42 = 83,782.28 : x - Step 2: Convert to fraction form
140,403.68/193,695.42 = 83,782.28/x - Step 3: Cross multiply
140,403.68x = 193,695.42 × 83,782.28 - Step 4: Simplify right side
140,403.68x = 16,228,243,913.16 - Step 5: Solve for x
x = 16,228,243,913.16/140,403.68 - Step 6: Final answer
x = 115,582.75
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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.