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Finding the Fourth Proportional to 119,694.47, 165,126 and 78,805.85

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Solution

The fourth proportional to 119,694.47, 165,126 and 78,805.85 is: 108,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,694.47 : 165,126 = 78,805.85 : x
  2. Step 2: Convert to fraction form
    119,694.47/165,126 = 78,805.85/x
  3. Step 3: Cross multiply
    119,694.47x = 165,126 × 78,805.85
  4. Step 4: Simplify right side
    119,694.47x = 13,012,893,961.47
  5. Step 5: Solve for x
    x = 13,012,893,961.47/119,694.47
  6. Step 6: Final answer
    x = 108,717.59

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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.