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Finding the Fourth Proportional to 213,876, 320,814 and 66,132

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Solution

The fourth proportional to 213,876, 320,814 and 66,132 is: 99,198

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,876 : 320,814 = 66,132 : x
  2. Step 2: Convert to fraction form
    213,876/320,814 = 66,132/x
  3. Step 3: Cross multiply
    213,876x = 320,814 × 66,132
  4. Step 4: Simplify right side
    213,876x = 21,216,071,448
  5. Step 5: Solve for x
    x = 21,216,071,448/213,876
  6. Step 6: Final answer
    x = 99,198

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