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Finding the Fourth Proportional to 82,834.31, 124,251.47 and 20,504.81

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Solution

The fourth proportional to 82,834.31, 124,251.47 and 20,504.81 is: 30,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,834.31 : 124,251.47 = 20,504.81 : x
  2. Step 2: Convert to fraction form
    82,834.31/124,251.47 = 20,504.81/x
  3. Step 3: Cross multiply
    82,834.31x = 124,251.47 × 20,504.81
  4. Step 4: Simplify right side
    82,834.31x = 2,547,753,069.57
  5. Step 5: Solve for x
    x = 2,547,753,069.57/82,834.31
  6. Step 6: Final answer
    x = 30,757.22

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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.