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Finding the Fourth Proportional to 135,507.63, 203,039.70 and 82,037.55

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Solution

The fourth proportional to 135,507.63, 203,039.70 and 82,037.55 is: 122,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,507.63 : 203,039.70 = 82,037.55 : x
  2. Step 2: Convert to fraction form
    135,507.63/203,039.70 = 82,037.55/x
  3. Step 3: Cross multiply
    135,507.63x = 203,039.70 × 82,037.55
  4. Step 4: Simplify right side
    135,507.63x = 16,656,879,540.74
  5. Step 5: Solve for x
    x = 16,656,879,540.74/135,507.63
  6. Step 6: Final answer
    x = 122,922.08

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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.