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Finding the Fourth Proportional to 221,790.94, 306,077.79 and 123,676.42

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Solution

The fourth proportional to 221,790.94, 306,077.79 and 123,676.42 is: 170,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,790.94 : 306,077.79 = 123,676.42 : x
  2. Step 2: Convert to fraction form
    221,790.94/306,077.79 = 123,676.42/x
  3. Step 3: Cross multiply
    221,790.94x = 306,077.79 × 123,676.42
  4. Step 4: Simplify right side
    221,790.94x = 37,854,605,308.71
  5. Step 5: Solve for x
    x = 37,854,605,308.71/221,790.94
  6. Step 6: Final answer
    x = 170,676.97

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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.