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Finding the Fourth Proportional to 109,906.90, 164,860.35 and 109,250.80

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Solution

The fourth proportional to 109,906.90, 164,860.35 and 109,250.80 is: 163,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.90 : 164,860.35 = 109,250.80 : x
  2. Step 2: Convert to fraction form
    109,906.90/164,860.35 = 109,250.80/x
  3. Step 3: Cross multiply
    109,906.90x = 164,860.35 × 109,250.80
  4. Step 4: Simplify right side
    109,906.90x = 18,011,125,125.78
  5. Step 5: Solve for x
    x = 18,011,125,125.78/109,906.90
  6. Step 6: Final answer
    x = 163,876.20

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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.