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Finding the Fourth Proportional to 109,644, 164,489.04 and 43,980

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Solution

The fourth proportional to 109,644, 164,489.04 and 43,980 is: 65,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,644 : 164,489.04 = 43,980 : x
  2. Step 2: Convert to fraction form
    109,644/164,489.04 = 43,980/x
  3. Step 3: Cross multiply
    109,644x = 164,489.04 × 43,980
  4. Step 4: Simplify right side
    109,644x = 7,234,227,979.20
  5. Step 5: Solve for x
    x = 7,234,227,979.20/109,644
  6. Step 6: Final answer
    x = 65,979.24

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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.