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Finding the Fourth Proportional to 161,353.22, 222,512.87 and 106,819.02

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Solution

The fourth proportional to 161,353.22, 222,512.87 and 106,819.02 is: 147,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,353.22 : 222,512.87 = 106,819.02 : x
  2. Step 2: Convert to fraction form
    161,353.22/222,512.87 = 106,819.02/x
  3. Step 3: Cross multiply
    161,353.22x = 222,512.87 × 106,819.02
  4. Step 4: Simplify right side
    161,353.22x = 23,768,606,977.84
  5. Step 5: Solve for x
    x = 23,768,606,977.84/161,353.22
  6. Step 6: Final answer
    x = 147,307.92

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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.