Finding the Fourth Proportional to 205,159,163.41, 283,119,706.52 and 111,073,291.66
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Solution
The fourth proportional to 205,159,163.41, 283,119,706.52 and 111,073,291.66 is: 153,281,175.52
Step by Step Solution
- Step 1: Write the proportion equation
205,159,163.41 : 283,119,706.52 = 111,073,291.66 : x - Step 2: Convert to fraction form
205,159,163.41/283,119,706.52 = 111,073,291.66/x - Step 3: Cross multiply
205,159,163.41x = 283,119,706.52 × 111,073,291.66 - Step 4: Simplify right side
205,159,163.41x = 31,447,037,736,989,560 - Step 5: Solve for x
x = 31,447,037,736,989,560/205,159,163.41 - Step 6: Final answer
x = 153,281,175.52
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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.