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Finding the Fourth Proportional to 135,648.40, 203,469.40 and 37,152.40

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Solution

The fourth proportional to 135,648.40, 203,469.40 and 37,152.40 is: 55,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648.40 : 203,469.40 = 37,152.40 : x
  2. Step 2: Convert to fraction form
    135,648.40/203,469.40 = 37,152.40/x
  3. Step 3: Cross multiply
    135,648.40x = 203,469.40 × 37,152.40
  4. Step 4: Simplify right side
    135,648.40x = 7,559,376,536.56
  5. Step 5: Solve for x
    x = 7,559,376,536.56/135,648.40
  6. Step 6: Final answer
    x = 55,727.72

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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.