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Finding the Fourth Proportional to 205,987.88, 284,249.52 and 115,328.60

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Solution

The fourth proportional to 205,987.88, 284,249.52 and 115,328.60 is: 159,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,987.88 : 284,249.52 = 115,328.60 : x
  2. Step 2: Convert to fraction form
    205,987.88/284,249.52 = 115,328.60/x
  3. Step 3: Cross multiply
    205,987.88x = 284,249.52 × 115,328.60
  4. Step 4: Simplify right side
    205,987.88x = 32,782,099,192.27
  5. Step 5: Solve for x
    x = 32,782,099,192.27/205,987.88
  6. Step 6: Final answer
    x = 159,145.77

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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.