Finding the Fourth Proportional to 206,148,283.76, 309,369,955.86 and 74,990,305.71
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Solution
The fourth proportional to 206,148,283.76, 309,369,955.86 and 74,990,305.71 is: 112,539,125.45
Step by Step Solution
- Step 1: Write the proportion equation
206,148,283.76 : 309,369,955.86 = 74,990,305.71 : x - Step 2: Convert to fraction form
206,148,283.76/309,369,955.86 = 74,990,305.71/x - Step 3: Cross multiply
206,148,283.76x = 309,369,955.86 × 74,990,305.71 - Step 4: Simplify right side
206,148,283.76x = 23,199,747,567,430,604 - Step 5: Solve for x
x = 23,199,747,567,430,604/206,148,283.76 - Step 6: Final answer
x = 112,539,125.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.