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Finding the Fourth Proportional to 154,447.80, 231,801.30 and 75,629.40

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Solution

The fourth proportional to 154,447.80, 231,801.30 and 75,629.40 is: 113,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,447.80 : 231,801.30 = 75,629.40 : x
  2. Step 2: Convert to fraction form
    154,447.80/231,801.30 = 75,629.40/x
  3. Step 3: Cross multiply
    154,447.80x = 231,801.30 × 75,629.40
  4. Step 4: Simplify right side
    154,447.80x = 17,530,993,238.22
  5. Step 5: Solve for x
    x = 17,530,993,238.22/154,447.80
  6. Step 6: Final answer
    x = 113,507.56

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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.