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Finding the Fourth Proportional to 20,140.20, 30,177.90 and 12,731.40

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Solution

The fourth proportional to 20,140.20, 30,177.90 and 12,731.40 is: 19,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.20 : 30,177.90 = 12,731.40 : x
  2. Step 2: Convert to fraction form
    20,140.20/30,177.90 = 12,731.40/x
  3. Step 3: Cross multiply
    20,140.20x = 30,177.90 × 12,731.40
  4. Step 4: Simplify right side
    20,140.20x = 384,206,916.06
  5. Step 5: Solve for x
    x = 384,206,916.06/20,140.20
  6. Step 6: Final answer
    x = 19,076.62

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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.