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Finding the Fourth Proportional to 82,057.59, 122,873.39 and 70,286.87

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Solution

The fourth proportional to 82,057.59, 122,873.39 and 70,286.87 is: 105,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.59 : 122,873.39 = 70,286.87 : x
  2. Step 2: Convert to fraction form
    82,057.59/122,873.39 = 70,286.87/x
  3. Step 3: Cross multiply
    82,057.59x = 122,873.39 × 70,286.87
  4. Step 4: Simplify right side
    82,057.59x = 8,636,385,023.59
  5. Step 5: Solve for x
    x = 8,636,385,023.59/82,057.59
  6. Step 6: Final answer
    x = 105,247.85

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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.