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Finding the Fourth Proportional to 52,187.72, 78,323.09 and 18,917.28

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Solution

The fourth proportional to 52,187.72, 78,323.09 and 18,917.28 is: 28,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,187.72 : 78,323.09 = 18,917.28 : x
  2. Step 2: Convert to fraction form
    52,187.72/78,323.09 = 18,917.28/x
  3. Step 3: Cross multiply
    52,187.72x = 78,323.09 × 18,917.28
  4. Step 4: Simplify right side
    52,187.72x = 1,481,659,729.41
  5. Step 5: Solve for x
    x = 1,481,659,729.41/52,187.72
  6. Step 6: Final answer
    x = 28,390.97

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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.