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Finding the Fourth Proportional to 109,892.70, 164,839.05 and 100,269.90

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Solution

The fourth proportional to 109,892.70, 164,839.05 and 100,269.90 is: 150,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.70 : 164,839.05 = 100,269.90 : x
  2. Step 2: Convert to fraction form
    109,892.70/164,839.05 = 100,269.90/x
  3. Step 3: Cross multiply
    109,892.70x = 164,839.05 × 100,269.90
  4. Step 4: Simplify right side
    109,892.70x = 16,528,395,059.60
  5. Step 5: Solve for x
    x = 16,528,395,059.60/109,892.70
  6. Step 6: Final answer
    x = 150,404.85

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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.