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Finding the Fourth Proportional to 45,874.34, 68,721.84 and 31,609.13

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Solution

The fourth proportional to 45,874.34, 68,721.84 and 31,609.13 is: 47,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,874.34 : 68,721.84 = 31,609.13 : x
  2. Step 2: Convert to fraction form
    45,874.34/68,721.84 = 31,609.13/x
  3. Step 3: Cross multiply
    45,874.34x = 68,721.84 × 31,609.13
  4. Step 4: Simplify right side
    45,874.34x = 2,172,237,230.79
  5. Step 5: Solve for x
    x = 2,172,237,230.79/45,874.34
  6. Step 6: Final answer
    x = 47,351.91

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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.