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Finding the Fourth Proportional to 82,406.40, 123,609.60 and 20,076.90

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Solution

The fourth proportional to 82,406.40, 123,609.60 and 20,076.90 is: 30,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.40 : 123,609.60 = 20,076.90 : x
  2. Step 2: Convert to fraction form
    82,406.40/123,609.60 = 20,076.90/x
  3. Step 3: Cross multiply
    82,406.40x = 123,609.60 × 20,076.90
  4. Step 4: Simplify right side
    82,406.40x = 2,481,697,578.24
  5. Step 5: Solve for x
    x = 2,481,697,578.24/82,406.40
  6. Step 6: Final answer
    x = 30,115.35

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1.5x scale

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.