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Finding the Fourth Proportional to 135,428.96, 203,178 and 85,861.28

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Solution

The fourth proportional to 135,428.96, 203,178 and 85,861.28 is: 128,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,428.96 : 203,178 = 85,861.28 : x
  2. Step 2: Convert to fraction form
    135,428.96/203,178 = 85,861.28/x
  3. Step 3: Cross multiply
    135,428.96x = 203,178 × 85,861.28
  4. Step 4: Simplify right side
    135,428.96x = 17,445,123,147.84
  5. Step 5: Solve for x
    x = 17,445,123,147.84/135,428.96
  6. Step 6: Final answer
    x = 128,813.83

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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.