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Finding the Fourth Proportional to 281,044.53, 421,732.85 and 103,676.09

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Solution

The fourth proportional to 281,044.53, 421,732.85 and 103,676.09 is: 155,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,044.53 : 421,732.85 = 103,676.09 : x
  2. Step 2: Convert to fraction form
    281,044.53/421,732.85 = 103,676.09/x
  3. Step 3: Cross multiply
    281,044.53x = 421,732.85 × 103,676.09
  4. Step 4: Simplify right side
    281,044.53x = 43,723,610,285.51
  5. Step 5: Solve for x
    x = 43,723,610,285.51/281,044.53
  6. Step 6: Final answer
    x = 155,575.38

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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.