Finding the Fourth Proportional to 205,920,434.22, 284,175,748.59 and 121,153,470.18
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Solution
The fourth proportional to 205,920,434.22, 284,175,748.59 and 121,153,470.18 is: 167,195,053.82
Step by Step Solution
- Step 1: Write the proportion equation
205,920,434.22 : 284,175,748.59 = 121,153,470.18 : x - Step 2: Convert to fraction form
205,920,434.22/284,175,748.59 = 121,153,470.18/x - Step 3: Cross multiply
205,920,434.22x = 284,175,748.59 × 121,153,470.18 - Step 4: Simplify right side
205,920,434.22x = 34,428,878,082,677,740 - Step 5: Solve for x
x = 34,428,878,082,677,740/205,920,434.22 - Step 6: Final answer
x = 167,195,053.82
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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.