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Finding the Fourth Proportional to 110,947.20, 166,420.80 and 75,517.80

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Solution

The fourth proportional to 110,947.20, 166,420.80 and 75,517.80 is: 113,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,947.20 : 166,420.80 = 75,517.80 : x
  2. Step 2: Convert to fraction form
    110,947.20/166,420.80 = 75,517.80/x
  3. Step 3: Cross multiply
    110,947.20x = 166,420.80 × 75,517.80
  4. Step 4: Simplify right side
    110,947.20x = 12,567,732,690.24
  5. Step 5: Solve for x
    x = 12,567,732,690.24/110,947.20
  6. Step 6: Final answer
    x = 113,276.70

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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.