Finding the Fourth Proportional to 162,132,582.16, 243,239,934.84 and 47,114,655.76
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Solution
The fourth proportional to 162,132,582.16, 243,239,934.84 and 47,114,655.76 is: 70,683,915.87
Step by Step Solution
- Step 1: Write the proportion equation
162,132,582.16 : 243,239,934.84 = 47,114,655.76 : x - Step 2: Convert to fraction form
162,132,582.16/243,239,934.84 = 47,114,655.76/x - Step 3: Cross multiply
162,132,582.16x = 243,239,934.84 × 47,114,655.76 - Step 4: Simplify right side
162,132,582.16x = 11,460,165,797,071,430 - Step 5: Solve for x
x = 11,460,165,797,071,430/162,132,582.16 - Step 6: Final answer
x = 70,683,915.87
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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.