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Finding the Fourth Proportional to 219,833.46, 329,789.68 and 77,761.08

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Solution

The fourth proportional to 219,833.46, 329,789.68 and 77,761.08 is: 116,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,833.46 : 329,789.68 = 77,761.08 : x
  2. Step 2: Convert to fraction form
    219,833.46/329,789.68 = 77,761.08/x
  3. Step 3: Cross multiply
    219,833.46x = 329,789.68 × 77,761.08
  4. Step 4: Simplify right side
    219,833.46x = 25,644,801,689.65
  5. Step 5: Solve for x
    x = 25,644,801,689.65/219,833.46
  6. Step 6: Final answer
    x = 116,655.59

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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.