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Finding the Fourth Proportional to 109,497.20, 164,310.60 and 72,165.20

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Solution

The fourth proportional to 109,497.20, 164,310.60 and 72,165.20 is: 108,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,497.20 : 164,310.60 = 72,165.20 : x
  2. Step 2: Convert to fraction form
    109,497.20/164,310.60 = 72,165.20/x
  3. Step 3: Cross multiply
    109,497.20x = 164,310.60 × 72,165.20
  4. Step 4: Simplify right side
    109,497.20x = 11,857,507,311.12
  5. Step 5: Solve for x
    x = 11,857,507,311.12/109,497.20
  6. Step 6: Final answer
    x = 108,290.51

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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.