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Finding the Fourth Proportional to 218,213.48, 301,099.41 and 122,714.48

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Solution

The fourth proportional to 218,213.48, 301,099.41 and 122,714.48 is: 169,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,213.48 : 301,099.41 = 122,714.48 : x
  2. Step 2: Convert to fraction form
    218,213.48/301,099.41 = 122,714.48/x
  3. Step 3: Cross multiply
    218,213.48x = 301,099.41 × 122,714.48
  4. Step 4: Simplify right side
    218,213.48x = 36,949,258,279.21
  5. Step 5: Solve for x
    x = 36,949,258,279.21/218,213.48
  6. Step 6: Final answer
    x = 169,326.19

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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.