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Finding the Fourth Proportional to 82,967.71, 124,452.02 and 20,638.21

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Solution

The fourth proportional to 82,967.71, 124,452.02 and 20,638.21 is: 30,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,967.71 : 124,452.02 = 20,638.21 : x
  2. Step 2: Convert to fraction form
    82,967.71/124,452.02 = 20,638.21/x
  3. Step 3: Cross multiply
    82,967.71x = 124,452.02 × 20,638.21
  4. Step 4: Simplify right side
    82,967.71x = 2,568,466,923.68
  5. Step 5: Solve for x
    x = 2,568,466,923.68/82,967.71
  6. Step 6: Final answer
    x = 30,957.43

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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.