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Finding the Fourth Proportional to 109,872.60, 164,808.90 and 108,706.20

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Solution

The fourth proportional to 109,872.60, 164,808.90 and 108,706.20 is: 163,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872.60 : 164,808.90 = 108,706.20 : x
  2. Step 2: Convert to fraction form
    109,872.60/164,808.90 = 108,706.20/x
  3. Step 3: Cross multiply
    109,872.60x = 164,808.90 × 108,706.20
  4. Step 4: Simplify right side
    109,872.60x = 17,915,749,245.18
  5. Step 5: Solve for x
    x = 17,915,749,245.18/109,872.60
  6. Step 6: Final answer
    x = 163,059.30

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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.