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Finding the Fourth Proportional to 119,652.93, 165,005.91 and 78,743.88

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Solution

The fourth proportional to 119,652.93, 165,005.91 and 78,743.88 is: 108,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652.93 : 165,005.91 = 78,743.88 : x
  2. Step 2: Convert to fraction form
    119,652.93/165,005.91 = 78,743.88/x
  3. Step 3: Cross multiply
    119,652.93x = 165,005.91 × 78,743.88
  4. Step 4: Simplify right side
    119,652.93x = 12,993,205,576.33
  5. Step 5: Solve for x
    x = 12,993,205,576.33/119,652.93
  6. Step 6: Final answer
    x = 108,590.78

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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.