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Finding the Fourth Proportional to 231,713.20, 347,576.28 and 81,932.32

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Solution

The fourth proportional to 231,713.20, 347,576.28 and 81,932.32 is: 122,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,713.20 : 347,576.28 = 81,932.32 : x
  2. Step 2: Convert to fraction form
    231,713.20/347,576.28 = 81,932.32/x
  3. Step 3: Cross multiply
    231,713.20x = 347,576.28 × 81,932.32
  4. Step 4: Simplify right side
    231,713.20x = 28,477,730,997.37
  5. Step 5: Solve for x
    x = 28,477,730,997.37/231,713.20
  6. Step 6: Final answer
    x = 122,900.77

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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.