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Finding the Fourth Proportional to 82,419.70, 123,622.72 and 26,257.54

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Solution

The fourth proportional to 82,419.70, 123,622.72 and 26,257.54 is: 39,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,419.70 : 123,622.72 = 26,257.54 : x
  2. Step 2: Convert to fraction form
    82,419.70/123,622.72 = 26,257.54/x
  3. Step 3: Cross multiply
    82,419.70x = 123,622.72 × 26,257.54
  4. Step 4: Simplify right side
    82,419.70x = 3,246,028,515.31
  5. Step 5: Solve for x
    x = 3,246,028,515.31/82,419.70
  6. Step 6: Final answer
    x = 39,384.13

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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.