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Finding the Fourth Proportional to 82,874.20, 124,311.30 and 74,579.80

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Solution

The fourth proportional to 82,874.20, 124,311.30 and 74,579.80 is: 111,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,874.20 : 124,311.30 = 74,579.80 : x
  2. Step 2: Convert to fraction form
    82,874.20/124,311.30 = 74,579.80/x
  3. Step 3: Cross multiply
    82,874.20x = 124,311.30 × 74,579.80
  4. Step 4: Simplify right side
    82,874.20x = 9,271,111,891.74
  5. Step 5: Solve for x
    x = 9,271,111,891.74/82,874.20
  6. Step 6: Final answer
    x = 111,869.70

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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.