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Finding the Fourth Proportional to 213,912, 320,885.28 and 66,168

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Solution

The fourth proportional to 213,912, 320,885.28 and 66,168 is: 99,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,912 : 320,885.28 = 66,168 : x
  2. Step 2: Convert to fraction form
    213,912/320,885.28 = 66,168/x
  3. Step 3: Cross multiply
    213,912x = 320,885.28 × 66,168
  4. Step 4: Simplify right side
    213,912x = 21,232,337,207.04
  5. Step 5: Solve for x
    x = 21,232,337,207.04/213,912
  6. Step 6: Final answer
    x = 99,257.35

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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.