Finding the Fourth Proportional to 212,365,112,268.86, 318,597,908,012.20 and 68,943,863,274.63
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Solution
The fourth proportional to 212,365,112,268.86, 318,597,908,012.20 and 68,943,863,274.63 is: 103,432,105,089.69
Step by Step Solution
- Step 1: Write the proportion equation
212,365,112,268.86 : 318,597,908,012.20 = 68,943,863,274.63 : x - Step 2: Convert to fraction form
212,365,112,268.86/318,597,908,012.20 = 68,943,863,274.63/x - Step 3: Cross multiply
212,365,112,268.86x = 318,597,908,012.20 × 68,943,863,274.63 - Step 4: Simplify right side
212,365,112,268.86x = 21,965,370,609,576,265,646,080 - Step 5: Solve for x
x = 21,965,370,609,576,265,646,080/212,365,112,268.86 - Step 6: Final answer
x = 103,432,105,089.69
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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.