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Finding the Fourth Proportional to 73,161, 100,962.20 and 39,627

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Solution

The fourth proportional to 73,161, 100,962.20 and 39,627 is: 54,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,161 : 100,962.20 = 39,627 : x
  2. Step 2: Convert to fraction form
    73,161/100,962.20 = 39,627/x
  3. Step 3: Cross multiply
    73,161x = 100,962.20 × 39,627
  4. Step 4: Simplify right side
    73,161x = 4,000,829,099.40
  5. Step 5: Solve for x
    x = 4,000,829,099.40/73,161
  6. Step 6: Final answer
    x = 54,685.27

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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.