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Finding the Fourth Proportional to 135,857.40, 203,786.10 and 100,865.40

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Solution

The fourth proportional to 135,857.40, 203,786.10 and 100,865.40 is: 151,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,857.40 : 203,786.10 = 100,865.40 : x
  2. Step 2: Convert to fraction form
    135,857.40/203,786.10 = 100,865.40/x
  3. Step 3: Cross multiply
    135,857.40x = 203,786.10 × 100,865.40
  4. Step 4: Simplify right side
    135,857.40x = 20,554,966,490.94
  5. Step 5: Solve for x
    x = 20,554,966,490.94/135,857.40
  6. Step 6: Final answer
    x = 151,298.10

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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.