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Finding the Fourth Proportional to 82,704.70, 124,057.05 and 51,211.90

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Solution

The fourth proportional to 82,704.70, 124,057.05 and 51,211.90 is: 76,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,704.70 : 124,057.05 = 51,211.90 : x
  2. Step 2: Convert to fraction form
    82,704.70/124,057.05 = 51,211.90/x
  3. Step 3: Cross multiply
    82,704.70x = 124,057.05 × 51,211.90
  4. Step 4: Simplify right side
    82,704.70x = 6,353,197,238.90
  5. Step 5: Solve for x
    x = 6,353,197,238.90/82,704.70
  6. Step 6: Final answer
    x = 76,817.85

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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.