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Finding the Fourth Proportional to 82,913.82, 124,331.84 and 30,286.50

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Solution

The fourth proportional to 82,913.82, 124,331.84 and 30,286.50 is: 45,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,913.82 : 124,331.84 = 30,286.50 : x
  2. Step 2: Convert to fraction form
    82,913.82/124,331.84 = 30,286.50/x
  3. Step 3: Cross multiply
    82,913.82x = 124,331.84 × 30,286.50
  4. Step 4: Simplify right side
    82,913.82x = 3,765,576,272.16
  5. Step 5: Solve for x
    x = 3,765,576,272.16/82,913.82
  6. Step 6: Final answer
    x = 45,415.54

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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.