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Finding the Fourth Proportional to 119,801.62, 165,379.36 and 77,380.84

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Solution

The fourth proportional to 119,801.62, 165,379.36 and 77,380.84 is: 106,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,801.62 : 165,379.36 = 77,380.84 : x
  2. Step 2: Convert to fraction form
    119,801.62/165,379.36 = 77,380.84/x
  3. Step 3: Cross multiply
    119,801.62x = 165,379.36 × 77,380.84
  4. Step 4: Simplify right side
    119,801.62x = 12,797,193,795.46
  5. Step 5: Solve for x
    x = 12,797,193,795.46/119,801.62
  6. Step 6: Final answer
    x = 106,819.87

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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.