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Finding the Fourth Proportional to 82,714.70, 124,072.05 and 51,221.90

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Solution

The fourth proportional to 82,714.70, 124,072.05 and 51,221.90 is: 76,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714.70 : 124,072.05 = 51,221.90 : x
  2. Step 2: Convert to fraction form
    82,714.70/124,072.05 = 51,221.90/x
  3. Step 3: Cross multiply
    82,714.70x = 124,072.05 × 51,221.90
  4. Step 4: Simplify right side
    82,714.70x = 6,355,206,137.90
  5. Step 5: Solve for x
    x = 6,355,206,137.90/82,714.70
  6. Step 6: Final answer
    x = 76,832.85

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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.