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Finding the Fourth Proportional to 82,809.72, 124,214.73 and 30,206.97

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Solution

The fourth proportional to 82,809.72, 124,214.73 and 30,206.97 is: 45,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.72 : 124,214.73 = 30,206.97 : x
  2. Step 2: Convert to fraction form
    82,809.72/124,214.73 = 30,206.97/x
  3. Step 3: Cross multiply
    82,809.72x = 124,214.73 × 30,206.97
  4. Step 4: Simplify right side
    82,809.72x = 3,752,150,622.67
  5. Step 5: Solve for x
    x = 3,752,150,622.67/82,809.72
  6. Step 6: Final answer
    x = 45,310.51

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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.