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Finding the Fourth Proportional to 281,169.28, 421,754.46 and 70,805.80

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Solution

The fourth proportional to 281,169.28, 421,754.46 and 70,805.80 is: 106,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,169.28 : 421,754.46 = 70,805.80 : x
  2. Step 2: Convert to fraction form
    281,169.28/421,754.46 = 70,805.80/x
  3. Step 3: Cross multiply
    281,169.28x = 421,754.46 × 70,805.80
  4. Step 4: Simplify right side
    281,169.28x = 29,862,661,943.87
  5. Step 5: Solve for x
    x = 29,862,661,943.87/281,169.28
  6. Step 6: Final answer
    x = 106,208.84

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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.