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Finding the Fourth Proportional to 138,029.60, 206,839.20 and 71,380.80

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Solution

The fourth proportional to 138,029.60, 206,839.20 and 71,380.80 is: 106,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,029.60 : 206,839.20 = 71,380.80 : x
  2. Step 2: Convert to fraction form
    138,029.60/206,839.20 = 71,380.80/x
  3. Step 3: Cross multiply
    138,029.60x = 206,839.20 × 71,380.80
  4. Step 4: Simplify right side
    138,029.60x = 14,764,347,567.36
  5. Step 5: Solve for x
    x = 14,764,347,567.36/138,029.60
  6. Step 6: Final answer
    x = 106,965.08

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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.