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Finding the Fourth Proportional to 109,957.70, 164,936.55 and 100,116.20

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Solution

The fourth proportional to 109,957.70, 164,936.55 and 100,116.20 is: 150,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,957.70 : 164,936.55 = 100,116.20 : x
  2. Step 2: Convert to fraction form
    109,957.70/164,936.55 = 100,116.20/x
  3. Step 3: Cross multiply
    109,957.70x = 164,936.55 × 100,116.20
  4. Step 4: Simplify right side
    109,957.70x = 16,512,820,627.11
  5. Step 5: Solve for x
    x = 16,512,820,627.11/109,957.70
  6. Step 6: Final answer
    x = 150,174.30

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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.