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Finding the Fourth Proportional to 82,870.20, 124,305.20 and 20,540.70

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Solution

The fourth proportional to 82,870.20, 124,305.20 and 20,540.70 is: 30,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,870.20 : 124,305.20 = 20,540.70 : x
  2. Step 2: Convert to fraction form
    82,870.20/124,305.20 = 20,540.70/x
  3. Step 3: Cross multiply
    82,870.20x = 124,305.20 × 20,540.70
  4. Step 4: Simplify right side
    82,870.20x = 2,553,315,821.64
  5. Step 5: Solve for x
    x = 2,553,315,821.64/82,870.20
  6. Step 6: Final answer
    x = 30,811.03

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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.