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Finding the Fourth Proportional to 109,318.80, 163,978.20 and 99,469.20

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Solution

The fourth proportional to 109,318.80, 163,978.20 and 99,469.20 is: 149,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,318.80 : 163,978.20 = 99,469.20 : x
  2. Step 2: Convert to fraction form
    109,318.80/163,978.20 = 99,469.20/x
  3. Step 3: Cross multiply
    109,318.80x = 163,978.20 × 99,469.20
  4. Step 4: Simplify right side
    109,318.80x = 16,310,780,371.44
  5. Step 5: Solve for x
    x = 16,310,780,371.44/109,318.80
  6. Step 6: Final answer
    x = 149,203.80

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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.