Finding the Fourth Proportional to 145,216,890,644.08, 200,399,309,474.52 and 78,462,232,340.08
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Solution
The fourth proportional to 145,216,890,644.08, 200,399,309,474.52 and 78,462,232,340.08 is: 108,277,880,837.70
Step by Step Solution
- Step 1: Write the proportion equation
145,216,890,644.08 : 200,399,309,474.52 = 78,462,232,340.08 : x - Step 2: Convert to fraction form
145,216,890,644.08/200,399,309,474.52 = 78,462,232,340.08/x - Step 3: Cross multiply
145,216,890,644.08x = 200,399,309,474.52 × 78,462,232,340.08 - Step 4: Simplify right side
145,216,890,644.08x = 15,723,777,180,781,382,729,728 - Step 5: Solve for x
x = 15,723,777,180,781,382,729,728/145,216,890,644.08 - Step 6: Final answer
x = 108,277,880,837.70
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1.5x scale
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.