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Finding the Fourth Proportional to 109,630.80, 164,446.20 and 99,781.20

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Solution

The fourth proportional to 109,630.80, 164,446.20 and 99,781.20 is: 149,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,630.80 : 164,446.20 = 99,781.20 : x
  2. Step 2: Convert to fraction form
    109,630.80/164,446.20 = 99,781.20/x
  3. Step 3: Cross multiply
    109,630.80x = 164,446.20 × 99,781.20
  4. Step 4: Simplify right side
    109,630.80x = 16,408,639,171.44
  5. Step 5: Solve for x
    x = 16,408,639,171.44/109,630.80
  6. Step 6: Final answer
    x = 149,671.80

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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.