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Finding the Fourth Proportional to 218,321.72, 301,267.86 and 122,810.03

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Solution

The fourth proportional to 218,321.72, 301,267.86 and 122,810.03 is: 169,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,321.72 : 301,267.86 = 122,810.03 : x
  2. Step 2: Convert to fraction form
    218,321.72/301,267.86 = 122,810.03/x
  3. Step 3: Cross multiply
    218,321.72x = 301,267.86 × 122,810.03
  4. Step 4: Simplify right side
    218,321.72x = 36,998,714,924.64
  5. Step 5: Solve for x
    x = 36,998,714,924.64/218,321.72
  6. Step 6: Final answer
    x = 169,468.78

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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.