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Finding the Fourth Proportional to 272,188.41, 408,236.40 and 82,603.05

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Solution

The fourth proportional to 272,188.41, 408,236.40 and 82,603.05 is: 123,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,188.41 : 408,236.40 = 82,603.05 : x
  2. Step 2: Convert to fraction form
    272,188.41/408,236.40 = 82,603.05/x
  3. Step 3: Cross multiply
    272,188.41x = 408,236.40 × 82,603.05
  4. Step 4: Simplify right side
    272,188.41x = 33,721,571,761.02
  5. Step 5: Solve for x
    x = 33,721,571,761.02/272,188.41
  6. Step 6: Final answer
    x = 123,890.55

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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.