Finding the Fourth Proportional to 261,718,684.34, 361,167,098.74 and 142,642,349.06
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Solution
The fourth proportional to 261,718,684.34, 361,167,098.74 and 142,642,349.06 is: 196,843,887.92
Step by Step Solution
- Step 1: Write the proportion equation
261,718,684.34 : 361,167,098.74 = 142,642,349.06 : x - Step 2: Convert to fraction form
261,718,684.34/361,167,098.74 = 142,642,349.06/x - Step 3: Cross multiply
261,718,684.34x = 361,167,098.74 × 142,642,349.06 - Step 4: Simplify right side
261,718,684.34x = 51,517,723,365,296,128 - Step 5: Solve for x
x = 51,517,723,365,296,128/261,718,684.34 - Step 6: Final answer
x = 196,843,887.92
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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.