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Finding the Fourth Proportional to 82,801.37, 124,201.76 and 20,471.87

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Solution

The fourth proportional to 82,801.37, 124,201.76 and 20,471.87 is: 30,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,801.37 : 124,201.76 = 20,471.87 : x
  2. Step 2: Convert to fraction form
    82,801.37/124,201.76 = 20,471.87/x
  3. Step 3: Cross multiply
    82,801.37x = 124,201.76 × 20,471.87
  4. Step 4: Simplify right side
    82,801.37x = 2,542,642,492.64
  5. Step 5: Solve for x
    x = 2,542,642,492.64/82,801.37
  6. Step 6: Final answer
    x = 30,707.73

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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.