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Finding the Fourth Proportional to 223,722.21, 308,736.54 and 123,120.21

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Solution

The fourth proportional to 223,722.21, 308,736.54 and 123,120.21 is: 169,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,722.21 : 308,736.54 = 123,120.21 : x
  2. Step 2: Convert to fraction form
    223,722.21/308,736.54 = 123,120.21/x
  3. Step 3: Cross multiply
    223,722.21x = 308,736.54 × 123,120.21
  4. Step 4: Simplify right side
    223,722.21x = 38,011,707,639.47
  5. Step 5: Solve for x
    x = 38,011,707,639.47/223,722.21
  6. Step 6: Final answer
    x = 169,905.83

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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.