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Finding the Fourth Proportional to 218,102.78, 300,983.10 and 122,608.64

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Solution

The fourth proportional to 218,102.78, 300,983.10 and 122,608.64 is: 169,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,102.78 : 300,983.10 = 122,608.64 : x
  2. Step 2: Convert to fraction form
    218,102.78/300,983.10 = 122,608.64/x
  3. Step 3: Cross multiply
    218,102.78x = 300,983.10 × 122,608.64
  4. Step 4: Simplify right side
    218,102.78x = 36,903,128,553.98
  5. Step 5: Solve for x
    x = 36,903,128,553.98/218,102.78
  6. Step 6: Final answer
    x = 169,200.63

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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.