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Finding the Fourth Proportional to 135,988.56, 203,810.10 and 76,857.48

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Solution

The fourth proportional to 135,988.56, 203,810.10 and 76,857.48 is: 115,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,988.56 : 203,810.10 = 76,857.48 : x
  2. Step 2: Convert to fraction form
    135,988.56/203,810.10 = 76,857.48/x
  3. Step 3: Cross multiply
    135,988.56x = 203,810.10 × 76,857.48
  4. Step 4: Simplify right side
    135,988.56x = 15,664,330,684.55
  5. Step 5: Solve for x
    x = 15,664,330,684.55/135,988.56
  6. Step 6: Final answer
    x = 115,188.59

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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.