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Finding the Fourth Proportional to 218,164.64, 301,064.24 and 122,671.56

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Solution

The fourth proportional to 218,164.64, 301,064.24 and 122,671.56 is: 169,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,164.64 : 301,064.24 = 122,671.56 : x
  2. Step 2: Convert to fraction form
    218,164.64/301,064.24 = 122,671.56/x
  3. Step 3: Cross multiply
    218,164.64x = 301,064.24 × 122,671.56
  4. Step 4: Simplify right side
    218,164.64x = 36,932,021,416.68
  5. Step 5: Solve for x
    x = 36,932,021,416.68/218,164.64
  6. Step 6: Final answer
    x = 169,285.09

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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.