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Finding the Fourth Proportional to 135,986.56, 203,806.76 and 76,855.20

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Solution

The fourth proportional to 135,986.56, 203,806.76 and 76,855.20 is: 115,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,986.56 : 203,806.76 = 76,855.20 : x
  2. Step 2: Convert to fraction form
    135,986.56/203,806.76 = 76,855.20/x
  3. Step 3: Cross multiply
    135,986.56x = 203,806.76 × 76,855.20
  4. Step 4: Simplify right side
    135,986.56x = 15,663,609,301.15
  5. Step 5: Solve for x
    x = 15,663,609,301.15/135,986.56
  6. Step 6: Final answer
    x = 115,184.98

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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.