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Finding the Fourth Proportional to 223,722.19, 308,736.66 and 123,120.19

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Solution

The fourth proportional to 223,722.19, 308,736.66 and 123,120.19 is: 169,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,722.19 : 308,736.66 = 123,120.19 : x
  2. Step 2: Convert to fraction form
    223,722.19/308,736.66 = 123,120.19/x
  3. Step 3: Cross multiply
    223,722.19x = 308,736.66 × 123,120.19
  4. Step 4: Simplify right side
    223,722.19x = 38,011,716,239.17
  5. Step 5: Solve for x
    x = 38,011,716,239.17/223,722.19
  6. Step 6: Final answer
    x = 169,905.88

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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.