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Finding the Fourth Proportional to 135,471.34, 203,235.54 and 51,229.64

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Solution

The fourth proportional to 135,471.34, 203,235.54 and 51,229.64 is: 76,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,471.34 : 203,235.54 = 51,229.64 : x
  2. Step 2: Convert to fraction form
    135,471.34/203,235.54 = 51,229.64/x
  3. Step 3: Cross multiply
    135,471.34x = 203,235.54 × 51,229.64
  4. Step 4: Simplify right side
    135,471.34x = 10,411,683,169.39
  5. Step 5: Solve for x
    x = 10,411,683,169.39/135,471.34
  6. Step 6: Final answer
    x = 76,855.25

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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.