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Finding the Fourth Proportional to 223,918.86, 308,993.94 and 123,316.86

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Solution

The fourth proportional to 223,918.86, 308,993.94 and 123,316.86 is: 170,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,918.86 : 308,993.94 = 123,316.86 : x
  2. Step 2: Convert to fraction form
    223,918.86/308,993.94 = 123,316.86/x
  3. Step 3: Cross multiply
    223,918.86x = 308,993.94 × 123,316.86
  4. Step 4: Simplify right side
    223,918.86x = 38,104,162,439.83
  5. Step 5: Solve for x
    x = 38,104,162,439.83/223,918.86
  6. Step 6: Final answer
    x = 170,169.51

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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.