Finding the Fourth Proportional to 155,032,657,795.74, 213,984,874,336.95 and 100,973,915,948.28
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Solution
The fourth proportional to 155,032,657,795.74, 213,984,874,336.95 and 100,973,915,948.28 is: 139,369,930,327.65
Step by Step Solution
- Step 1: Write the proportion equation
155,032,657,795.74 : 213,984,874,336.95 = 100,973,915,948.28 : x - Step 2: Convert to fraction form
155,032,657,795.74/213,984,874,336.95 = 100,973,915,948.28/x - Step 3: Cross multiply
155,032,657,795.74x = 213,984,874,336.95 × 100,973,915,948.28 - Step 4: Simplify right side
155,032,657,795.74x = 21,606,890,715,502,449,000,448 - Step 5: Solve for x
x = 21,606,890,715,502,449,000,448/155,032,657,795.74 - Step 6: Final answer
x = 139,369,930,327.65
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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.