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Finding the Fourth Proportional to 222,968.83, 307,695.41 and 120,991.70

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Solution

The fourth proportional to 222,968.83, 307,695.41 and 120,991.70 is: 166,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,968.83 : 307,695.41 = 120,991.70 : x
  2. Step 2: Convert to fraction form
    222,968.83/307,695.41 = 120,991.70/x
  3. Step 3: Cross multiply
    222,968.83x = 307,695.41 × 120,991.70
  4. Step 4: Simplify right side
    222,968.83x = 37,228,590,738.10
  5. Step 5: Solve for x
    x = 37,228,590,738.10/222,968.83
  6. Step 6: Final answer
    x = 166,967.69

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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.