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Finding the Fourth Proportional to 159,843.28, 239,871.84 and 66,349.12

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Solution

The fourth proportional to 159,843.28, 239,871.84 and 66,349.12 is: 99,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,843.28 : 239,871.84 = 66,349.12 : x
  2. Step 2: Convert to fraction form
    159,843.28/239,871.84 = 66,349.12/x
  3. Step 3: Cross multiply
    159,843.28x = 239,871.84 × 66,349.12
  4. Step 4: Simplify right side
    159,843.28x = 15,915,285,496.78
  5. Step 5: Solve for x
    x = 15,915,285,496.78/159,843.28
  6. Step 6: Final answer
    x = 99,568.06

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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.