Finding the Fourth Proportional to 204,363,165.16, 282,390,074.33 and 145,523,678.41
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Solution
The fourth proportional to 204,363,165.16, 282,390,074.33 and 145,523,678.41 is: 201,085,368.45
Step by Step Solution
- Step 1: Write the proportion equation
204,363,165.16 : 282,390,074.33 = 145,523,678.41 : x - Step 2: Convert to fraction form
204,363,165.16/282,390,074.33 = 145,523,678.41/x - Step 3: Cross multiply
204,363,165.16x = 282,390,074.33 × 145,523,678.41 - Step 4: Simplify right side
204,363,165.16x = 41,094,442,362,974,912 - Step 5: Solve for x
x = 41,094,442,362,974,912/204,363,165.16 - Step 6: Final answer
x = 201,085,368.45
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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.