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Finding the Fourth Proportional to 135,527.80, 203,145.90 and 51,255.40

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Solution

The fourth proportional to 135,527.80, 203,145.90 and 51,255.40 is: 76,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,527.80 : 203,145.90 = 51,255.40 : x
  2. Step 2: Convert to fraction form
    135,527.80/203,145.90 = 51,255.40/x
  3. Step 3: Cross multiply
    135,527.80x = 203,145.90 × 51,255.40
  4. Step 4: Simplify right side
    135,527.80x = 10,412,324,362.86
  5. Step 5: Solve for x
    x = 10,412,324,362.86/135,527.80
  6. Step 6: Final answer
    x = 76,827.96

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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.