Finding the Fourth Proportional to 120,128,197.16, 165,775,419.02 and 70,573,088.08
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Solution
The fourth proportional to 120,128,197.16, 165,775,419.02 and 70,573,088.08 is: 97,389,984.40
Step by Step Solution
- Step 1: Write the proportion equation
120,128,197.16 : 165,775,419.02 = 70,573,088.08 : x - Step 2: Convert to fraction form
120,128,197.16/165,775,419.02 = 70,573,088.08/x - Step 3: Cross multiply
120,128,197.16x = 165,775,419.02 × 70,573,088.08 - Step 4: Simplify right side
120,128,197.16x = 11,699,283,247,997,368 - Step 5: Solve for x
x = 11,699,283,247,997,368/120,128,197.16 - Step 6: Final answer
x = 97,389,984.40
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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.