Finding the Fourth Proportional to 155,341,108,190.71, 212,813,779,152.08 and 149,533,153,644.98
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Solution
The fourth proportional to 155,341,108,190.71, 212,813,779,152.08 and 149,533,153,644.98 is: 204,857,013,744.54
Step by Step Solution
- Step 1: Write the proportion equation
155,341,108,190.71 : 212,813,779,152.08 = 149,533,153,644.98 : x - Step 2: Convert to fraction form
155,341,108,190.71/212,813,779,152.08 = 149,533,153,644.98/x - Step 3: Cross multiply
155,341,108,190.71x = 212,813,779,152.08 × 149,533,153,644.98 - Step 4: Simplify right side
155,341,108,190.71x = 31,822,715,535,716,822,024,192 - Step 5: Solve for x
x = 31,822,715,535,716,822,024,192/155,341,108,190.71 - Step 6: Final answer
x = 204,857,013,744.54
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.