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Finding the Fourth Proportional to 54,659.11, 81,970.30 and 20,917.25

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Solution

The fourth proportional to 54,659.11, 81,970.30 and 20,917.25 is: 31,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,659.11 : 81,970.30 = 20,917.25 : x
  2. Step 2: Convert to fraction form
    54,659.11/81,970.30 = 20,917.25/x
  3. Step 3: Cross multiply
    54,659.11x = 81,970.30 × 20,917.25
  4. Step 4: Simplify right side
    54,659.11x = 1,714,593,257.68
  5. Step 5: Solve for x
    x = 1,714,593,257.68/54,659.11
  6. Step 6: Final answer
    x = 31,368.85

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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.