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Finding the Fourth Proportional to 135,439.46, 203,193.76 and 85,871.78

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Solution

The fourth proportional to 135,439.46, 203,193.76 and 85,871.78 is: 128,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,439.46 : 203,193.76 = 85,871.78 : x
  2. Step 2: Convert to fraction form
    135,439.46/203,193.76 = 85,871.78/x
  3. Step 3: Cross multiply
    135,439.46x = 203,193.76 × 85,871.78
  4. Step 4: Simplify right side
    135,439.46x = 17,448,609,856.09
  5. Step 5: Solve for x
    x = 17,448,609,856.09/135,439.46
  6. Step 6: Final answer
    x = 128,829.59

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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.