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Finding the Fourth Proportional to 81,969.60, 122,930.10 and 32,020.95

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Solution

The fourth proportional to 81,969.60, 122,930.10 and 32,020.95 is: 48,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,969.60 : 122,930.10 = 32,020.95 : x
  2. Step 2: Convert to fraction form
    81,969.60/122,930.10 = 32,020.95/x
  3. Step 3: Cross multiply
    81,969.60x = 122,930.10 × 32,020.95
  4. Step 4: Simplify right side
    81,969.60x = 3,936,338,585.60
  5. Step 5: Solve for x
    x = 3,936,338,585.60/81,969.60
  6. Step 6: Final answer
    x = 48,021.93

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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.