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Finding the Fourth Proportional to 82,937.82, 124,406.81 and 20,608.32

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Solution

The fourth proportional to 82,937.82, 124,406.81 and 20,608.32 is: 30,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,937.82 : 124,406.81 = 20,608.32 : x
  2. Step 2: Convert to fraction form
    82,937.82/124,406.81 = 20,608.32/x
  3. Step 3: Cross multiply
    82,937.82x = 124,406.81 × 20,608.32
  4. Step 4: Simplify right side
    82,937.82x = 2,563,815,247.62
  5. Step 5: Solve for x
    x = 2,563,815,247.62/82,937.82
  6. Step 6: Final answer
    x = 30,912.50

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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.