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Finding the Fourth Proportional to 222,971.34, 307,698.87 and 120,994.20

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Solution

The fourth proportional to 222,971.34, 307,698.87 and 120,994.20 is: 166,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,971.34 : 307,698.87 = 120,994.20 : x
  2. Step 2: Convert to fraction form
    222,971.34/307,698.87 = 120,994.20/x
  3. Step 3: Cross multiply
    222,971.34x = 307,698.87 × 120,994.20
  4. Step 4: Simplify right side
    222,971.34x = 37,229,778,616.55
  5. Step 5: Solve for x
    x = 37,229,778,616.55/222,971.34
  6. Step 6: Final answer
    x = 166,971.14

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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.