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Finding the Fourth Proportional to 222,971.40, 307,694.16 and 120,992.40

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Solution

The fourth proportional to 222,971.40, 307,694.16 and 120,992.40 is: 166,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,971.40 : 307,694.16 = 120,992.40 : x
  2. Step 2: Convert to fraction form
    222,971.40/307,694.16 = 120,992.40/x
  3. Step 3: Cross multiply
    222,971.40x = 307,694.16 × 120,992.40
  4. Step 4: Simplify right side
    222,971.40x = 37,228,654,884.38
  5. Step 5: Solve for x
    x = 37,228,654,884.38/222,971.40
  6. Step 6: Final answer
    x = 166,966.05

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1.5x scale

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.