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Finding the Fourth Proportional to 222,966.45, 307,692.14 and 120,989.31

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Solution

The fourth proportional to 222,966.45, 307,692.14 and 120,989.31 is: 166,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,966.45 : 307,692.14 = 120,989.31 : x
  2. Step 2: Convert to fraction form
    222,966.45/307,692.14 = 120,989.31/x
  3. Step 3: Cross multiply
    222,966.45x = 307,692.14 × 120,989.31
  4. Step 4: Simplify right side
    222,966.45x = 37,227,459,106.08
  5. Step 5: Solve for x
    x = 37,227,459,106.08/222,966.45
  6. Step 6: Final answer
    x = 166,964.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.