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Finding the Fourth Proportional to 378,092, 567,136.04 and 111,853.92

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Solution

The fourth proportional to 378,092, 567,136.04 and 111,853.92 is: 167,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,092 : 567,136.04 = 111,853.92 : x
  2. Step 2: Convert to fraction form
    378,092/567,136.04 = 111,853.92/x
  3. Step 3: Cross multiply
    378,092x = 567,136.04 × 111,853.92
  4. Step 4: Simplify right side
    378,092x = 63,436,389,247.28
  5. Step 5: Solve for x
    x = 63,436,389,247.28/378,092
  6. Step 6: Final answer
    x = 167,780.30

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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.