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Finding the Fourth Proportional to 81,016, 121,518.84 and 30,405.04

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Solution

The fourth proportional to 81,016, 121,518.84 and 30,405.04 is: 45,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,016 : 121,518.84 = 30,405.04 : x
  2. Step 2: Convert to fraction form
    81,016/121,518.84 = 30,405.04/x
  3. Step 3: Cross multiply
    81,016x = 121,518.84 × 30,405.04
  4. Step 4: Simplify right side
    81,016x = 3,694,785,190.95
  5. Step 5: Solve for x
    x = 3,694,785,190.95/81,016
  6. Step 6: Final answer
    x = 45,605.62

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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.