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Finding the Fourth Proportional to 281,341.76, 422,010.81 and 70,979.90

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Solution

The fourth proportional to 281,341.76, 422,010.81 and 70,979.90 is: 106,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,341.76 : 422,010.81 = 70,979.90 : x
  2. Step 2: Convert to fraction form
    281,341.76/422,010.81 = 70,979.90/x
  3. Step 3: Cross multiply
    281,341.76x = 422,010.81 × 70,979.90
  4. Step 4: Simplify right side
    281,341.76x = 29,954,282,982.67
  5. Step 5: Solve for x
    x = 29,954,282,982.67/281,341.76
  6. Step 6: Final answer
    x = 106,469.38

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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.