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Finding the Fourth Proportional to 135,489.97, 203,245.47 and 40,712.76

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Solution

The fourth proportional to 135,489.97, 203,245.47 and 40,712.76 is: 61,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,489.97 : 203,245.47 = 40,712.76 : x
  2. Step 2: Convert to fraction form
    135,489.97/203,245.47 = 40,712.76/x
  3. Step 3: Cross multiply
    135,489.97x = 203,245.47 × 40,712.76
  4. Step 4: Simplify right side
    135,489.97x = 8,274,683,024.97
  5. Step 5: Solve for x
    x = 8,274,683,024.97/135,489.97
  6. Step 6: Final answer
    x = 61,072.29

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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.