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Finding the Fourth Proportional to 222,971.49, 307,699.12 and 120,994.38

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Solution

The fourth proportional to 222,971.49, 307,699.12 and 120,994.38 is: 166,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,971.49 : 307,699.12 = 120,994.38 : x
  2. Step 2: Convert to fraction form
    222,971.49/307,699.12 = 120,994.38/x
  3. Step 3: Cross multiply
    222,971.49x = 307,699.12 × 120,994.38
  4. Step 4: Simplify right side
    222,971.49x = 37,229,864,402.19
  5. Step 5: Solve for x
    x = 37,229,864,402.19/222,971.49
  6. Step 6: Final answer
    x = 166,971.41

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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.