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Finding the Fourth Proportional to 82,873.80, 124,359.30 and 30,288.60

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Solution

The fourth proportional to 82,873.80, 124,359.30 and 30,288.60 is: 45,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873.80 : 124,359.30 = 30,288.60 : x
  2. Step 2: Convert to fraction form
    82,873.80/124,359.30 = 30,288.60/x
  3. Step 3: Cross multiply
    82,873.80x = 124,359.30 × 30,288.60
  4. Step 4: Simplify right side
    82,873.80x = 3,766,669,093.98
  5. Step 5: Solve for x
    x = 3,766,669,093.98/82,873.80
  6. Step 6: Final answer
    x = 45,450.66

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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.