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Finding the Fourth Proportional to 135,953.40, 203,930.10 and 100,961.40

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Solution

The fourth proportional to 135,953.40, 203,930.10 and 100,961.40 is: 151,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,953.40 : 203,930.10 = 100,961.40 : x
  2. Step 2: Convert to fraction form
    135,953.40/203,930.10 = 100,961.40/x
  3. Step 3: Cross multiply
    135,953.40x = 203,930.10 × 100,961.40
  4. Step 4: Simplify right side
    135,953.40x = 20,589,068,398.14
  5. Step 5: Solve for x
    x = 20,589,068,398.14/135,953.40
  6. Step 6: Final answer
    x = 151,442.10

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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.