Finding the Fourth Proportional to 138,216,316,542.48, 207,324,474,813.71 and 38,842,961,113.97
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Solution
The fourth proportional to 138,216,316,542.48, 207,324,474,813.71 and 38,842,961,113.97 is: 58,264,441,670.96
Step by Step Solution
- Step 1: Write the proportion equation
138,216,316,542.48 : 207,324,474,813.71 = 38,842,961,113.97 : x - Step 2: Convert to fraction form
138,216,316,542.48/207,324,474,813.71 = 38,842,961,113.97/x - Step 3: Cross multiply
138,216,316,542.48x = 207,324,474,813.71 × 38,842,961,113.97 - Step 4: Simplify right side
138,216,316,542.48x = 8,053,096,513,163,812,143,104 - Step 5: Solve for x
x = 8,053,096,513,163,812,143,104/138,216,316,542.48 - Step 6: Final answer
x = 58,264,441,670.96
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.