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Finding the Fourth Proportional to 81,523.86, 122,285.87 and 65,654.48

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Solution

The fourth proportional to 81,523.86, 122,285.87 and 65,654.48 is: 98,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,523.86 : 122,285.87 = 65,654.48 : x
  2. Step 2: Convert to fraction form
    81,523.86/122,285.87 = 65,654.48/x
  3. Step 3: Cross multiply
    81,523.86x = 122,285.87 × 65,654.48
  4. Step 4: Simplify right side
    81,523.86x = 8,028,614,266.50
  5. Step 5: Solve for x
    x = 8,028,614,266.50/81,523.86
  6. Step 6: Final answer
    x = 98,481.77

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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.