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Finding the Fourth Proportional to 122,874.62, 169,479.62 and 82,018.14

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Solution

The fourth proportional to 122,874.62, 169,479.62 and 82,018.14 is: 113,126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,874.62 : 169,479.62 = 82,018.14 : x
  2. Step 2: Convert to fraction form
    122,874.62/169,479.62 = 82,018.14/x
  3. Step 3: Cross multiply
    122,874.62x = 169,479.62 × 82,018.14
  4. Step 4: Simplify right side
    122,874.62x = 13,900,404,180.56
  5. Step 5: Solve for x
    x = 13,900,404,180.56/122,874.62
  6. Step 6: Final answer
    x = 113,126.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.