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Finding the Fourth Proportional to 223,614.11, 308,578.42 and 121,639.69

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Solution

The fourth proportional to 223,614.11, 308,578.42 and 121,639.69 is: 167,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,614.11 : 308,578.42 = 121,639.69 : x
  2. Step 2: Convert to fraction form
    223,614.11/308,578.42 = 121,639.69/x
  3. Step 3: Cross multiply
    223,614.11x = 308,578.42 × 121,639.69
  4. Step 4: Simplify right side
    223,614.11x = 37,535,382,882.14
  5. Step 5: Solve for x
    x = 37,535,382,882.14/223,614.11
  6. Step 6: Final answer
    x = 167,857.85

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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.