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Finding the Fourth Proportional to 218,646.88, 301,731.38 and 123,184.33

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Solution

The fourth proportional to 218,646.88, 301,731.38 and 123,184.33 is: 169,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,646.88 : 301,731.38 = 123,184.33 : x
  2. Step 2: Convert to fraction form
    218,646.88/301,731.38 = 123,184.33/x
  3. Step 3: Cross multiply
    218,646.88x = 301,731.38 × 123,184.33
  4. Step 4: Simplify right side
    218,646.88x = 37,168,576,976.97
  5. Step 5: Solve for x
    x = 37,168,576,976.97/218,646.88
  6. Step 6: Final answer
    x = 169,993.63

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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.