Finding the Fourth Proportional to 120,049,435.32, 180,077,827.14 and 83,125,177.08
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Solution
The fourth proportional to 120,049,435.32, 180,077,827.14 and 83,125,177.08 is: 124,690,309.70
Step by Step Solution
- Step 1: Write the proportion equation
120,049,435.32 : 180,077,827.14 = 83,125,177.08 : x - Step 2: Convert to fraction form
120,049,435.32/180,077,827.14 = 83,125,177.08/x - Step 3: Cross multiply
120,049,435.32x = 180,077,827.14 × 83,125,177.08 - Step 4: Simplify right side
120,049,435.32x = 14,969,001,269,194,128 - Step 5: Solve for x
x = 14,969,001,269,194,128/120,049,435.32 - Step 6: Final answer
x = 124,690,309.70
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.