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Finding the Fourth Proportional to 135,941.40, 203,912.10 and 57,209.40

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Solution

The fourth proportional to 135,941.40, 203,912.10 and 57,209.40 is: 85,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,941.40 : 203,912.10 = 57,209.40 : x
  2. Step 2: Convert to fraction form
    135,941.40/203,912.10 = 57,209.40/x
  3. Step 3: Cross multiply
    135,941.40x = 203,912.10 × 57,209.40
  4. Step 4: Simplify right side
    135,941.40x = 11,665,688,893.74
  5. Step 5: Solve for x
    x = 11,665,688,893.74/135,941.40
  6. Step 6: Final answer
    x = 85,814.10

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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.