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Finding the Fourth Proportional to 205,170, 307,794.90 and 78,801

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Solution

The fourth proportional to 205,170, 307,794.90 and 78,801 is: 118,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,170 : 307,794.90 = 78,801 : x
  2. Step 2: Convert to fraction form
    205,170/307,794.90 = 78,801/x
  3. Step 3: Cross multiply
    205,170x = 307,794.90 × 78,801
  4. Step 4: Simplify right side
    205,170x = 24,254,545,914.90
  5. Step 5: Solve for x
    x = 24,254,545,914.90/205,170
  6. Step 6: Final answer
    x = 118,216.82

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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.