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Finding the Fourth Proportional to 225,862.11, 311,684.31 and 123,886.65

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Solution

The fourth proportional to 225,862.11, 311,684.31 and 123,886.65 is: 170,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,862.11 : 311,684.31 = 123,886.65 : x
  2. Step 2: Convert to fraction form
    225,862.11/311,684.31 = 123,886.65/x
  3. Step 3: Cross multiply
    225,862.11x = 311,684.31 × 123,886.65
  4. Step 4: Simplify right side
    225,862.11x = 38,613,526,192.28
  5. Step 5: Solve for x
    x = 38,613,526,192.28/225,862.11
  6. Step 6: Final answer
    x = 170,960.62

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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.