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Finding the Fourth Proportional to 135,698.46, 203,548.21 and 56,757.31

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Solution

The fourth proportional to 135,698.46, 203,548.21 and 56,757.31 is: 85,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,698.46 : 203,548.21 = 56,757.31 : x
  2. Step 2: Convert to fraction form
    135,698.46/203,548.21 = 56,757.31/x
  3. Step 3: Cross multiply
    135,698.46x = 203,548.21 × 56,757.31
  4. Step 4: Simplify right side
    135,698.46x = 11,552,848,204.15
  5. Step 5: Solve for x
    x = 11,552,848,204.15/135,698.46
  6. Step 6: Final answer
    x = 85,136.18

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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.