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Finding the Fourth Proportional to 213,872, 320,808 and 66,128

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Solution

The fourth proportional to 213,872, 320,808 and 66,128 is: 99,192

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,872 : 320,808 = 66,128 : x
  2. Step 2: Convert to fraction form
    213,872/320,808 = 66,128/x
  3. Step 3: Cross multiply
    213,872x = 320,808 × 66,128
  4. Step 4: Simplify right side
    213,872x = 21,214,391,424
  5. Step 5: Solve for x
    x = 21,214,391,424/213,872
  6. Step 6: Final answer
    x = 99,192

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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.