Finding the Fourth Proportional to 165,105,178.79, 227,831,603.58 and 97,199,518.91
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Solution
The fourth proportional to 165,105,178.79, 227,831,603.58 and 97,199,518.91 is: 134,127,363.07
Step by Step Solution
- Step 1: Write the proportion equation
165,105,178.79 : 227,831,603.58 = 97,199,518.91 : x - Step 2: Convert to fraction form
165,105,178.79/227,831,603.58 = 97,199,518.91/x - Step 3: Cross multiply
165,105,178.79x = 227,831,603.58 × 97,199,518.91 - Step 4: Simplify right side
165,105,178.79x = 22,145,122,259,330,676 - Step 5: Solve for x
x = 22,145,122,259,330,676/165,105,178.79 - Step 6: Final answer
x = 134,127,363.07
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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.