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Finding the Fourth Proportional to 222,709.50, 307,346.40 and 122,107.50

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Solution

The fourth proportional to 222,709.50, 307,346.40 and 122,107.50 is: 168,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,709.50 : 307,346.40 = 122,107.50 : x
  2. Step 2: Convert to fraction form
    222,709.50/307,346.40 = 122,107.50/x
  3. Step 3: Cross multiply
    222,709.50x = 307,346.40 × 122,107.50
  4. Step 4: Simplify right side
    222,709.50x = 37,529,300,538
  5. Step 5: Solve for x
    x = 37,529,300,538/222,709.50
  6. Step 6: Final answer
    x = 168,512.35

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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.