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Finding the Fourth Proportional to 73,164.64, 109,729.92 and 20,579.20

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Solution

The fourth proportional to 73,164.64, 109,729.92 and 20,579.20 is: 30,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164.64 : 109,729.92 = 20,579.20 : x
  2. Step 2: Convert to fraction form
    73,164.64/109,729.92 = 20,579.20/x
  3. Step 3: Cross multiply
    73,164.64x = 109,729.92 × 20,579.20
  4. Step 4: Simplify right side
    73,164.64x = 2,258,153,969.66
  5. Step 5: Solve for x
    x = 2,258,153,969.66/73,164.64
  6. Step 6: Final answer
    x = 30,864.01

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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.