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Finding the Fourth Proportional to 81,793.86, 122,690.85 and 25,638.36

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Solution

The fourth proportional to 81,793.86, 122,690.85 and 25,638.36 is: 38,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,793.86 : 122,690.85 = 25,638.36 : x
  2. Step 2: Convert to fraction form
    81,793.86/122,690.85 = 25,638.36/x
  3. Step 3: Cross multiply
    81,793.86x = 122,690.85 × 25,638.36
  4. Step 4: Simplify right side
    81,793.86x = 3,145,592,181.01
  5. Step 5: Solve for x
    x = 3,145,592,181.01/81,793.86
  6. Step 6: Final answer
    x = 38,457.56

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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.