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Finding the Fourth Proportional to 110,872.80, 166,309.20 and 31,989.60

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Solution

The fourth proportional to 110,872.80, 166,309.20 and 31,989.60 is: 47,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,872.80 : 166,309.20 = 31,989.60 : x
  2. Step 2: Convert to fraction form
    110,872.80/166,309.20 = 31,989.60/x
  3. Step 3: Cross multiply
    110,872.80x = 166,309.20 × 31,989.60
  4. Step 4: Simplify right side
    110,872.80x = 5,320,164,784.32
  5. Step 5: Solve for x
    x = 5,320,164,784.32/110,872.80
  6. Step 6: Final answer
    x = 47,984.40

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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.