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Finding the Fourth Proportional to 111,678, 167,555.84 and 52,558.80

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Solution

The fourth proportional to 111,678, 167,555.84 and 52,558.80 is: 78,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,678 : 167,555.84 = 52,558.80 : x
  2. Step 2: Convert to fraction form
    111,678/167,555.84 = 52,558.80/x
  3. Step 3: Cross multiply
    111,678x = 167,555.84 × 52,558.80
  4. Step 4: Simplify right side
    111,678x = 8,806,533,883.39
  5. Step 5: Solve for x
    x = 8,806,533,883.39/111,678
  6. Step 6: Final answer
    x = 78,856.48

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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.