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Finding the Fourth Proportional to 81,219.48, 121,767.48 and 56,193

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Solution

The fourth proportional to 81,219.48, 121,767.48 and 56,193 is: 84,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,219.48 : 121,767.48 = 56,193 : x
  2. Step 2: Convert to fraction form
    81,219.48/121,767.48 = 56,193/x
  3. Step 3: Cross multiply
    81,219.48x = 121,767.48 × 56,193
  4. Step 4: Simplify right side
    81,219.48x = 6,842,480,003.64
  5. Step 5: Solve for x
    x = 6,842,480,003.64/81,219.48
  6. Step 6: Final answer
    x = 84,246.78

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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.