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Finding the Fourth Proportional to 82,812.26, 124,216.94 and 20,482.76

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Solution

The fourth proportional to 82,812.26, 124,216.94 and 20,482.76 is: 30,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812.26 : 124,216.94 = 20,482.76 : x
  2. Step 2: Convert to fraction form
    82,812.26/124,216.94 = 20,482.76/x
  3. Step 3: Cross multiply
    82,812.26x = 124,216.94 × 20,482.76
  4. Step 4: Simplify right side
    82,812.26x = 2,544,305,769.95
  5. Step 5: Solve for x
    x = 2,544,305,769.95/82,812.26
  6. Step 6: Final answer
    x = 30,723.78

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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.