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Finding the Fourth Proportional to 81,806.58, 112,893.27 and 45,996.90

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Solution

The fourth proportional to 81,806.58, 112,893.27 and 45,996.90 is: 63,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.58 : 112,893.27 = 45,996.90 : x
  2. Step 2: Convert to fraction form
    81,806.58/112,893.27 = 45,996.90/x
  3. Step 3: Cross multiply
    81,806.58x = 112,893.27 × 45,996.90
  4. Step 4: Simplify right side
    81,806.58x = 5,192,740,450.86
  5. Step 5: Solve for x
    x = 5,192,740,450.86/81,806.58
  6. Step 6: Final answer
    x = 63,475.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.