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Finding the Fourth Proportional to 219,833.96, 329,790.44 and 77,761.58

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Solution

The fourth proportional to 219,833.96, 329,790.44 and 77,761.58 is: 116,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,833.96 : 329,790.44 = 77,761.58 : x
  2. Step 2: Convert to fraction form
    219,833.96/329,790.44 = 77,761.58/x
  3. Step 3: Cross multiply
    219,833.96x = 329,790.44 × 77,761.58
  4. Step 4: Simplify right side
    219,833.96x = 25,645,023,645.54
  5. Step 5: Solve for x
    x = 25,645,023,645.54/219,833.96
  6. Step 6: Final answer
    x = 116,656.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.