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Finding the Fourth Proportional to 214,998.60, 322,376.40 and 81,883.20

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Solution

The fourth proportional to 214,998.60, 322,376.40 and 81,883.20 is: 122,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,998.60 : 322,376.40 = 81,883.20 : x
  2. Step 2: Convert to fraction form
    214,998.60/322,376.40 = 81,883.20/x
  3. Step 3: Cross multiply
    214,998.60x = 322,376.40 × 81,883.20
  4. Step 4: Simplify right side
    214,998.60x = 26,397,211,236.48
  5. Step 5: Solve for x
    x = 26,397,211,236.48/214,998.60
  6. Step 6: Final answer
    x = 122,778.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.