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Finding the Fourth Proportional to 109,891.64, 164,905.14 and 43,320.44

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Solution

The fourth proportional to 109,891.64, 164,905.14 and 43,320.44 is: 65,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,891.64 : 164,905.14 = 43,320.44 : x
  2. Step 2: Convert to fraction form
    109,891.64/164,905.14 = 43,320.44/x
  3. Step 3: Cross multiply
    109,891.64x = 164,905.14 × 43,320.44
  4. Step 4: Simplify right side
    109,891.64x = 7,143,763,223.06
  5. Step 5: Solve for x
    x = 7,143,763,223.06/109,891.64
  6. Step 6: Final answer
    x = 65,007.34

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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.