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Finding the Fourth Proportional to 218,794, 301,935.66 and 123,304.12

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Solution

The fourth proportional to 218,794, 301,935.66 and 123,304.12 is: 170,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,794 : 301,935.66 = 123,304.12 : x
  2. Step 2: Convert to fraction form
    218,794/301,935.66 = 123,304.12/x
  3. Step 3: Cross multiply
    218,794x = 301,935.66 × 123,304.12
  4. Step 4: Simplify right side
    218,794x = 37,229,910,852.92
  5. Step 5: Solve for x
    x = 37,229,910,852.92/218,794
  6. Step 6: Final answer
    x = 170,159.65

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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.