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Finding the Fourth Proportional to 221,789.94, 306,076.41 and 123,675.42

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Solution

The fourth proportional to 221,789.94, 306,076.41 and 123,675.42 is: 170,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,789.94 : 306,076.41 = 123,675.42 : x
  2. Step 2: Convert to fraction form
    221,789.94/306,076.41 = 123,675.42/x
  3. Step 3: Cross multiply
    221,789.94x = 306,076.41 × 123,675.42
  4. Step 4: Simplify right side
    221,789.94x = 37,854,128,558.84
  5. Step 5: Solve for x
    x = 37,854,128,558.84/221,789.94
  6. Step 6: Final answer
    x = 170,675.59

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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.