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Finding the Fourth Proportional to 213,922, 320,900.28 and 66,178

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Solution

The fourth proportional to 213,922, 320,900.28 and 66,178 is: 99,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,922 : 320,900.28 = 66,178 : x
  2. Step 2: Convert to fraction form
    213,922/320,900.28 = 66,178/x
  3. Step 3: Cross multiply
    213,922x = 320,900.28 × 66,178
  4. Step 4: Simplify right side
    213,922x = 21,236,538,729.84
  5. Step 5: Solve for x
    x = 21,236,538,729.84/213,922
  6. Step 6: Final answer
    x = 99,272.35

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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.