Finding the Fourth Proportional to 120,178,598.14, 180,242,671.20 and 33,896,827.09
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Solution
The fourth proportional to 120,178,598.14, 180,242,671.20 and 33,896,827.09 is: 50,838,125.54
Step by Step Solution
- Step 1: Write the proportion equation
120,178,598.14 : 180,242,671.20 = 33,896,827.09 : x - Step 2: Convert to fraction form
120,178,598.14/180,242,671.20 = 33,896,827.09/x - Step 3: Cross multiply
120,178,598.14x = 180,242,671.20 × 33,896,827.09 - Step 4: Simplify right side
120,178,598.14x = 6,109,654,659,906,123 - Step 5: Solve for x
x = 6,109,654,659,906,123/120,178,598.14 - Step 6: Final answer
x = 50,838,125.54
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1.5x scale
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.