Finding the Fourth Proportional to 205,616.16, 283,911.12 and 157,793.76
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Solution
The fourth proportional to 205,616.16, 283,911.12 and 157,793.76 is: 217,878.80
Step by Step Solution
- Step 1: Write the proportion equation
205,616.16 : 283,911.12 = 157,793.76 : x - Step 2: Convert to fraction form
205,616.16/283,911.12 = 157,793.76/x - Step 3: Cross multiply
205,616.16x = 283,911.12 × 157,793.76 - Step 4: Simplify right side
205,616.16x = 44,799,403,130.61 - Step 5: Solve for x
x = 44,799,403,130.61/205,616.16 - Step 6: Final answer
x = 217,878.80
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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.