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Finding the Fourth Proportional to 281,553.50, 422,330.29 and 71,191.44

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Solution

The fourth proportional to 281,553.50, 422,330.29 and 71,191.44 is: 106,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,553.50 : 422,330.29 = 71,191.44 : x
  2. Step 2: Convert to fraction form
    281,553.50/422,330.29 = 71,191.44/x
  3. Step 3: Cross multiply
    281,553.50x = 422,330.29 × 71,191.44
  4. Step 4: Simplify right side
    281,553.50x = 30,066,301,322.74
  5. Step 5: Solve for x
    x = 30,066,301,322.74/281,553.50
  6. Step 6: Final answer
    x = 106,787.17

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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.