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Finding the Fourth Proportional to 82,966, 124,449.52 and 20,636.48

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Solution

The fourth proportional to 82,966, 124,449.52 and 20,636.48 is: 30,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,966 : 124,449.52 = 20,636.48 : x
  2. Step 2: Convert to fraction form
    82,966/124,449.52 = 20,636.48/x
  3. Step 3: Cross multiply
    82,966x = 124,449.52 × 20,636.48
  4. Step 4: Simplify right side
    82,966x = 2,568,200,030.49
  5. Step 5: Solve for x
    x = 2,568,200,030.49/82,966
  6. Step 6: Final answer
    x = 30,954.85

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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.