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Finding the Fourth Proportional to 99,431.28, 149,170.28 and 32,871.41

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Solution

The fourth proportional to 99,431.28, 149,170.28 and 32,871.41 is: 49,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,431.28 : 149,170.28 = 32,871.41 : x
  2. Step 2: Convert to fraction form
    99,431.28/149,170.28 = 32,871.41/x
  3. Step 3: Cross multiply
    99,431.28x = 149,170.28 × 32,871.41
  4. Step 4: Simplify right side
    99,431.28x = 4,903,436,523.49
  5. Step 5: Solve for x
    x = 4,903,436,523.49/99,431.28
  6. Step 6: Final answer
    x = 49,314.83

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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.