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Finding the Fourth Proportional to 81,864, 122,796 and 32,650.56

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Solution

The fourth proportional to 81,864, 122,796 and 32,650.56 is: 48,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 122,796 = 32,650.56 : x
  2. Step 2: Convert to fraction form
    81,864/122,796 = 32,650.56/x
  3. Step 3: Cross multiply
    81,864x = 122,796 × 32,650.56
  4. Step 4: Simplify right side
    81,864x = 4,009,358,165.76
  5. Step 5: Solve for x
    x = 4,009,358,165.76/81,864
  6. Step 6: Final answer
    x = 48,975.84

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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.