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Finding the Fourth Proportional to 111,319.20, 166,978.80 and 78,076.80

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Solution

The fourth proportional to 111,319.20, 166,978.80 and 78,076.80 is: 117,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,319.20 : 166,978.80 = 78,076.80 : x
  2. Step 2: Convert to fraction form
    111,319.20/166,978.80 = 78,076.80/x
  3. Step 3: Cross multiply
    111,319.20x = 166,978.80 × 78,076.80
  4. Step 4: Simplify right side
    111,319.20x = 13,037,170,371.84
  5. Step 5: Solve for x
    x = 13,037,170,371.84/111,319.20
  6. Step 6: Final answer
    x = 117,115.20

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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.