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Finding the Fourth Proportional to 272,532, 408,821.04 and 75,540

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Solution

The fourth proportional to 272,532, 408,821.04 and 75,540 is: 113,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,532 : 408,821.04 = 75,540 : x
  2. Step 2: Convert to fraction form
    272,532/408,821.04 = 75,540/x
  3. Step 3: Cross multiply
    272,532x = 408,821.04 × 75,540
  4. Step 4: Simplify right side
    272,532x = 30,882,341,361.60
  5. Step 5: Solve for x
    x = 30,882,341,361.60/272,532
  6. Step 6: Final answer
    x = 113,316.39

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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.