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Finding the Fourth Proportional to 135,645.40, 203,464.90 and 37,149.40

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Solution

The fourth proportional to 135,645.40, 203,464.90 and 37,149.40 is: 55,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,645.40 : 203,464.90 = 37,149.40 : x
  2. Step 2: Convert to fraction form
    135,645.40/203,464.90 = 37,149.40/x
  3. Step 3: Cross multiply
    135,645.40x = 203,464.90 × 37,149.40
  4. Step 4: Simplify right side
    135,645.40x = 7,558,598,956.06
  5. Step 5: Solve for x
    x = 7,558,598,956.06/135,645.40
  6. Step 6: Final answer
    x = 55,723.22

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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.