Finding the Fourth Proportional to 75,136,689,929.14, 103,688,698,915.94 and 40,842,396,487.54
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Solution
The fourth proportional to 75,136,689,929.14, 103,688,698,915.94 and 40,842,396,487.54 is: 56,362,543,471.05
Step by Step Solution
- Step 1: Write the proportion equation
75,136,689,929.14 : 103,688,698,915.94 = 40,842,396,487.54 : x - Step 2: Convert to fraction form
75,136,689,929.14/103,688,698,915.94 = 40,842,396,487.54/x - Step 3: Cross multiply
75,136,689,929.14x = 103,688,698,915.94 × 40,842,396,487.54 - Step 4: Simplify right side
75,136,689,929.14x = 4,234,894,952,401,980,620,800 - Step 5: Solve for x
x = 4,234,894,952,401,980,620,800/75,136,689,929.14 - Step 6: Final answer
x = 56,362,543,471.05
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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.