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Finding the Fourth Proportional to 161,322.28, 222,592.84 and 97,666

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Solution

The fourth proportional to 161,322.28, 222,592.84 and 97,666 is: 134,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,322.28 : 222,592.84 = 97,666 : x
  2. Step 2: Convert to fraction form
    161,322.28/222,592.84 = 97,666/x
  3. Step 3: Cross multiply
    161,322.28x = 222,592.84 × 97,666
  4. Step 4: Simplify right side
    161,322.28x = 21,739,752,311.44
  5. Step 5: Solve for x
    x = 21,739,752,311.44/161,322.28
  6. Step 6: Final answer
    x = 134,759.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.