Finding the Fourth Proportional to 154,210,823.88, 212,809,686.99 and 83,646,257.82
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Solution
The fourth proportional to 154,210,823.88, 212,809,686.99 and 83,646,257.82 is: 115,431,157.79
Step by Step Solution
- Step 1: Write the proportion equation
154,210,823.88 : 212,809,686.99 = 83,646,257.82 : x - Step 2: Convert to fraction form
154,210,823.88/212,809,686.99 = 83,646,257.82/x - Step 3: Cross multiply
154,210,823.88x = 212,809,686.99 × 83,646,257.82 - Step 4: Simplify right side
154,210,823.88x = 17,800,733,944,559,040 - Step 5: Solve for x
x = 17,800,733,944,559,040/154,210,823.88 - Step 6: Final answer
x = 115,431,157.79
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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.