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Finding the Fourth Proportional to 81,644.88, 122,409.36 and 31,682.82

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Solution

The fourth proportional to 81,644.88, 122,409.36 and 31,682.82 is: 47,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,644.88 : 122,409.36 = 31,682.82 : x
  2. Step 2: Convert to fraction form
    81,644.88/122,409.36 = 31,682.82/x
  3. Step 3: Cross multiply
    81,644.88x = 122,409.36 × 31,682.82
  4. Step 4: Simplify right side
    81,644.88x = 3,878,273,719.20
  5. Step 5: Solve for x
    x = 3,878,273,719.20/81,644.88
  6. Step 6: Final answer
    x = 47,501.74

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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.