Finding the Fourth Proportional to 146,040,719,845.84, 201,536,040,537.71 and 81,811,896,270.79
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Solution
The fourth proportional to 146,040,719,845.84, 201,536,040,537.71 and 81,811,896,270.79 is: 112,900,331,227.49
Step by Step Solution
- Step 1: Write the proportion equation
146,040,719,845.84 : 201,536,040,537.71 = 81,811,896,270.79 : x - Step 2: Convert to fraction form
146,040,719,845.84/201,536,040,537.71 = 81,811,896,270.79/x - Step 3: Cross multiply
146,040,719,845.84x = 201,536,040,537.71 × 81,811,896,270.79 - Step 4: Simplify right side
146,040,719,845.84x = 16,488,045,643,296,856,342,528 - Step 5: Solve for x
x = 16,488,045,643,296,856,342,528/146,040,719,845.84 - Step 6: Final answer
x = 112,900,331,227.49
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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.