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Finding the Fourth Proportional to 143,471.44, 197,991.24 and 79,810

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Solution

The fourth proportional to 143,471.44, 197,991.24 and 79,810 is: 110,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,471.44 : 197,991.24 = 79,810 : x
  2. Step 2: Convert to fraction form
    143,471.44/197,991.24 = 79,810/x
  3. Step 3: Cross multiply
    143,471.44x = 197,991.24 × 79,810
  4. Step 4: Simplify right side
    143,471.44x = 15,801,680,864.40
  5. Step 5: Solve for x
    x = 15,801,680,864.40/143,471.44
  6. Step 6: Final answer
    x = 110,138.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.