Finding the Fourth Proportional to 218,793,309,405.12, 328,302,157,355.37 and 105,569,595,985.99
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Solution
The fourth proportional to 218,793,309,405.12, 328,302,157,355.37 and 105,569,595,985.99 is: 158,408,528,156.41
Step by Step Solution
- Step 1: Write the proportion equation
218,793,309,405.12 : 328,302,157,355.37 = 105,569,595,985.99 : x - Step 2: Convert to fraction form
218,793,309,405.12/328,302,157,355.37 = 105,569,595,985.99/x - Step 3: Cross multiply
218,793,309,405.12x = 328,302,157,355.37 × 105,569,595,985.99 - Step 4: Simplify right side
218,793,309,405.12x = 34,658,726,113,335,329,161,216 - Step 5: Solve for x
x = 34,658,726,113,335,329,161,216/218,793,309,405.12 - Step 6: Final answer
x = 158,408,528,156.41
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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.