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Finding the Fourth Proportional to 200,531.70, 276,729.36 and 109,885.68

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Solution

The fourth proportional to 200,531.70, 276,729.36 and 109,885.68 is: 151,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,531.70 : 276,729.36 = 109,885.68 : x
  2. Step 2: Convert to fraction form
    200,531.70/276,729.36 = 109,885.68/x
  3. Step 3: Cross multiply
    200,531.70x = 276,729.36 × 109,885.68
  4. Step 4: Simplify right side
    200,531.70x = 30,408,593,899.56
  5. Step 5: Solve for x
    x = 30,408,593,899.56/200,531.70
  6. Step 6: Final answer
    x = 151,639.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.