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Finding the Fourth Proportional to 81,448.20, 122,083.20 and 28,830.60

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Solution

The fourth proportional to 81,448.20, 122,083.20 and 28,830.60 is: 43,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,448.20 : 122,083.20 = 28,830.60 : x
  2. Step 2: Convert to fraction form
    81,448.20/122,083.20 = 28,830.60/x
  3. Step 3: Cross multiply
    81,448.20x = 122,083.20 × 28,830.60
  4. Step 4: Simplify right side
    81,448.20x = 3,519,731,905.92
  5. Step 5: Solve for x
    x = 3,519,731,905.92/81,448.20
  6. Step 6: Final answer
    x = 43,214.36

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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.