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Finding the Fourth Proportional to 80,485.46, 120,730.46 and 21,321.14

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Solution

The fourth proportional to 80,485.46, 120,730.46 and 21,321.14 is: 31,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,485.46 : 120,730.46 = 21,321.14 : x
  2. Step 2: Convert to fraction form
    80,485.46/120,730.46 = 21,321.14/x
  3. Step 3: Cross multiply
    80,485.46x = 120,730.46 × 21,321.14
  4. Step 4: Simplify right side
    80,485.46x = 2,574,111,039.92
  5. Step 5: Solve for x
    x = 2,574,111,039.92/80,485.46
  6. Step 6: Final answer
    x = 31,982.31

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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.