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Finding the Fourth Proportional to 214,999.34, 322,639.34 and 81,880.90

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Solution

The fourth proportional to 214,999.34, 322,639.34 and 81,880.90 is: 122,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,999.34 : 322,639.34 = 81,880.90 : x
  2. Step 2: Convert to fraction form
    214,999.34/322,639.34 = 81,880.90/x
  3. Step 3: Cross multiply
    214,999.34x = 322,639.34 × 81,880.90
  4. Step 4: Simplify right side
    214,999.34x = 26,417,998,318.60
  5. Step 5: Solve for x
    x = 26,417,998,318.60/214,999.34
  6. Step 6: Final answer
    x = 122,874.79

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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.