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Finding the Fourth Proportional to 100,771.29, 151,215.35 and 50,855.29

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Solution

The fourth proportional to 100,771.29, 151,215.35 and 50,855.29 is: 76,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,771.29 : 151,215.35 = 50,855.29 : x
  2. Step 2: Convert to fraction form
    100,771.29/151,215.35 = 50,855.29/x
  3. Step 3: Cross multiply
    100,771.29x = 151,215.35 × 50,855.29
  4. Step 4: Simplify right side
    100,771.29x = 7,690,099,844.39
  5. Step 5: Solve for x
    x = 7,690,099,844.39/100,771.29
  6. Step 6: Final answer
    x = 76,312.41

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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.